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Finding the Fourth Proportional to 614.21, 847.08 and 521.17

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Solution

The fourth proportional to 614.21, 847.08 and 521.17 is: 718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.21 : 847.08 = 521.17 : x
  2. Step 2: Convert to fraction form
    614.21/847.08 = 521.17/x
  3. Step 3: Cross multiply
    614.21x = 847.08 × 521.17
  4. Step 4: Simplify right side
    614.21x = 441,470.57
  5. Step 5: Solve for x
    x = 441,470.57/614.21
  6. Step 6: Final answer
    x = 718.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.