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Finding the Fourth Proportional to 892.40, 1,335.54 and 616.64

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Solution

The fourth proportional to 892.40, 1,335.54 and 616.64 is: 922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,335.54 = 616.64 : x
  2. Step 2: Convert to fraction form
    892.40/1,335.54 = 616.64/x
  3. Step 3: Cross multiply
    892.40x = 1,335.54 × 616.64
  4. Step 4: Simplify right side
    892.40x = 823,547.39
  5. Step 5: Solve for x
    x = 823,547.39/892.40
  6. Step 6: Final answer
    x = 922.85

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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.