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Finding the Fourth Proportional to 922.53, 1,384.66 and 614.60

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Solution

The fourth proportional to 922.53, 1,384.66 and 614.60 is: 922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.53 : 1,384.66 = 614.60 : x
  2. Step 2: Convert to fraction form
    922.53/1,384.66 = 614.60/x
  3. Step 3: Cross multiply
    922.53x = 1,384.66 × 614.60
  4. Step 4: Simplify right side
    922.53x = 851,002.04
  5. Step 5: Solve for x
    x = 851,002.04/922.53
  6. Step 6: Final answer
    x = 922.47

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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.