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Finding the Fourth Proportional to 508.92, 766.14 and 456

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Solution

The fourth proportional to 508.92, 766.14 and 456 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 766.14 = 456 : x
  2. Step 2: Convert to fraction form
    508.92/766.14 = 456/x
  3. Step 3: Cross multiply
    508.92x = 766.14 × 456
  4. Step 4: Simplify right side
    508.92x = 349,359.84
  5. Step 5: Solve for x
    x = 349,359.84/508.92
  6. Step 6: Final answer
    x = 686.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.