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Finding the Fourth Proportional to 922.61, 1,385.42 and 512.55

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Solution

The fourth proportional to 922.61, 1,385.42 and 512.55 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.61 : 1,385.42 = 512.55 : x
  2. Step 2: Convert to fraction form
    922.61/1,385.42 = 512.55/x
  3. Step 3: Cross multiply
    922.61x = 1,385.42 × 512.55
  4. Step 4: Simplify right side
    922.61x = 710,094.46
  5. Step 5: Solve for x
    x = 710,094.46/922.61
  6. Step 6: Final answer
    x = 769.66

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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.