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Finding the Fourth Proportional to 922.71, 1,384.08 and 857.10

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Solution

The fourth proportional to 922.71, 1,384.08 and 857.10 is: 1,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.71 : 1,384.08 = 857.10 : x
  2. Step 2: Convert to fraction form
    922.71/1,384.08 = 857.10/x
  3. Step 3: Cross multiply
    922.71x = 1,384.08 × 857.10
  4. Step 4: Simplify right side
    922.71x = 1,186,294.97
  5. Step 5: Solve for x
    x = 1,186,294.97/922.71
  6. Step 6: Final answer
    x = 1,285.66

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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.