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Finding the Fourth Proportional to 956.34, 1,423.20 and 921.78

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Solution

The fourth proportional to 956.34, 1,423.20 and 921.78 is: 1,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.34 : 1,423.20 = 921.78 : x
  2. Step 2: Convert to fraction form
    956.34/1,423.20 = 921.78/x
  3. Step 3: Cross multiply
    956.34x = 1,423.20 × 921.78
  4. Step 4: Simplify right side
    956.34x = 1,311,877.30
  5. Step 5: Solve for x
    x = 1,311,877.30/956.34
  6. Step 6: Final answer
    x = 1,371.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.