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Finding the Fourth Proportional to 514.92, 775.14 and 462

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Solution

The fourth proportional to 514.92, 775.14 and 462 is: 695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 775.14 = 462 : x
  2. Step 2: Convert to fraction form
    514.92/775.14 = 462/x
  3. Step 3: Cross multiply
    514.92x = 775.14 × 462
  4. Step 4: Simplify right side
    514.92x = 358,114.68
  5. Step 5: Solve for x
    x = 358,114.68/514.92
  6. Step 6: Final answer
    x = 695.48

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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.