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Finding the Fourth Proportional to 609.54, 840.90 and 360.77

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Solution

The fourth proportional to 609.54, 840.90 and 360.77 is: 497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 840.90 = 360.77 : x
  2. Step 2: Convert to fraction form
    609.54/840.90 = 360.77/x
  3. Step 3: Cross multiply
    609.54x = 840.90 × 360.77
  4. Step 4: Simplify right side
    609.54x = 303,367.29
  5. Step 5: Solve for x
    x = 303,367.29/609.54
  6. Step 6: Final answer
    x = 497.70

Related Problems

Find fourth proportional to 304.77, 420.45 and 180.38
Half scale
Find fourth proportional to 1,219.08, 1,681.80 and 721.53
Double scale
Find fourth proportional to 610.54, 842.28 and 361.77
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.