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Finding the Fourth Proportional to 991.70, 1,487.54 and 414.57

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Solution

The fourth proportional to 991.70, 1,487.54 and 414.57 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.70 : 1,487.54 = 414.57 : x
  2. Step 2: Convert to fraction form
    991.70/1,487.54 = 414.57/x
  3. Step 3: Cross multiply
    991.70x = 1,487.54 × 414.57
  4. Step 4: Simplify right side
    991.70x = 616,687.38
  5. Step 5: Solve for x
    x = 616,687.38/991.70
  6. Step 6: Final answer
    x = 621.85

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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.