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Finding the Fourth Proportional to 521.71, 781.64 and 465.21

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Solution

The fourth proportional to 521.71, 781.64 and 465.21 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.71 : 781.64 = 465.21 : x
  2. Step 2: Convert to fraction form
    521.71/781.64 = 465.21/x
  3. Step 3: Cross multiply
    521.71x = 781.64 × 465.21
  4. Step 4: Simplify right side
    521.71x = 363,626.74
  5. Step 5: Solve for x
    x = 363,626.74/521.71
  6. Step 6: Final answer
    x = 696.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.