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Finding the Fourth Proportional to 512.70, 707.67 and 462.30

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Solution

The fourth proportional to 512.70, 707.67 and 462.30 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 707.67 = 462.30 : x
  2. Step 2: Convert to fraction form
    512.70/707.67 = 462.30/x
  3. Step 3: Cross multiply
    512.70x = 707.67 × 462.30
  4. Step 4: Simplify right side
    512.70x = 327,155.84
  5. Step 5: Solve for x
    x = 327,155.84/512.70
  6. Step 6: Final answer
    x = 638.10

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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.