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Finding the Fourth Proportional to 529.21, 789.92 and 491.17

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Solution

The fourth proportional to 529.21, 789.92 and 491.17 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.21 : 789.92 = 491.17 : x
  2. Step 2: Convert to fraction form
    529.21/789.92 = 491.17/x
  3. Step 3: Cross multiply
    529.21x = 789.92 × 491.17
  4. Step 4: Simplify right side
    529.21x = 387,985.01
  5. Step 5: Solve for x
    x = 387,985.01/529.21
  6. Step 6: Final answer
    x = 733.14

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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.