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Finding the Fourth Proportional to 521.32, 778.16 and 459.81

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Solution

The fourth proportional to 521.32, 778.16 and 459.81 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.32 : 778.16 = 459.81 : x
  2. Step 2: Convert to fraction form
    521.32/778.16 = 459.81/x
  3. Step 3: Cross multiply
    521.32x = 778.16 × 459.81
  4. Step 4: Simplify right side
    521.32x = 357,805.75
  5. Step 5: Solve for x
    x = 357,805.75/521.32
  6. Step 6: Final answer
    x = 686.35

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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.