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Finding the Fourth Proportional to 510.48, 762.97 and 469.47

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Solution

The fourth proportional to 510.48, 762.97 and 469.47 is: 701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 762.97 = 469.47 : x
  2. Step 2: Convert to fraction form
    510.48/762.97 = 469.47/x
  3. Step 3: Cross multiply
    510.48x = 762.97 × 469.47
  4. Step 4: Simplify right side
    510.48x = 358,191.53
  5. Step 5: Solve for x
    x = 358,191.53/510.48
  6. Step 6: Final answer
    x = 701.68

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.