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Finding the Fourth Proportional to 922.88, 1,383.35 and 614.95

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Solution

The fourth proportional to 922.88, 1,383.35 and 614.95 is: 921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.88 : 1,383.35 = 614.95 : x
  2. Step 2: Convert to fraction form
    922.88/1,383.35 = 614.95/x
  3. Step 3: Cross multiply
    922.88x = 1,383.35 × 614.95
  4. Step 4: Simplify right side
    922.88x = 850,684.55
  5. Step 5: Solve for x
    x = 850,684.55/922.88
  6. Step 6: Final answer
    x = 921.77

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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.