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Finding the Fourth Proportional to 1,332.34, 1,999.87 and 922.27

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Solution

The fourth proportional to 1,332.34, 1,999.87 and 922.27 is: 1,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.34 : 1,999.87 = 922.27 : x
  2. Step 2: Convert to fraction form
    1,332.34/1,999.87 = 922.27/x
  3. Step 3: Cross multiply
    1,332.34x = 1,999.87 × 922.27
  4. Step 4: Simplify right side
    1,332.34x = 1,844,420.10
  5. Step 5: Solve for x
    x = 1,844,420.10/1,332.34
  6. Step 6: Final answer
    x = 1,384.35

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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.