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Finding the Fourth Proportional to 940.76, 1,298.10 and 609.20

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Solution

The fourth proportional to 940.76, 1,298.10 and 609.20 is: 840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.76 : 1,298.10 = 609.20 : x
  2. Step 2: Convert to fraction form
    940.76/1,298.10 = 609.20/x
  3. Step 3: Cross multiply
    940.76x = 1,298.10 × 609.20
  4. Step 4: Simplify right side
    940.76x = 790,802.52
  5. Step 5: Solve for x
    x = 790,802.52/940.76
  6. Step 6: Final answer
    x = 840.60

Related Problems

Find fourth proportional to 470.38, 649.05 and 304.60
Half scale
Find fourth proportional to 1,881.52, 2,596.20 and 1,218.40
Double scale
Find fourth proportional to 941.76, 1,299.48 and 610.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.