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Finding the Fourth Proportional to 512.66, 763.99 and 497.81

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Solution

The fourth proportional to 512.66, 763.99 and 497.81 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 763.99 = 497.81 : x
  2. Step 2: Convert to fraction form
    512.66/763.99 = 497.81/x
  3. Step 3: Cross multiply
    512.66x = 763.99 × 497.81
  4. Step 4: Simplify right side
    512.66x = 380,322.53
  5. Step 5: Solve for x
    x = 380,322.53/512.66
  6. Step 6: Final answer
    x = 741.86

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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.