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Finding the Fourth Proportional to 611.75, 844.19 and 346.20

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Solution

The fourth proportional to 611.75, 844.19 and 346.20 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.75 : 844.19 = 346.20 : x
  2. Step 2: Convert to fraction form
    611.75/844.19 = 346.20/x
  3. Step 3: Cross multiply
    611.75x = 844.19 × 346.20
  4. Step 4: Simplify right side
    611.75x = 292,252.63
  5. Step 5: Solve for x
    x = 292,252.63/611.75
  6. Step 6: Final answer
    x = 477.74

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Double scale
Find fourth proportional to 612.75, 845.56 and 347.20
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.