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Finding the Fourth Proportional to 956.49, 1,432.62 and 930.66

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Solution

The fourth proportional to 956.49, 1,432.62 and 930.66 is: 1,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.49 : 1,432.62 = 930.66 : x
  2. Step 2: Convert to fraction form
    956.49/1,432.62 = 930.66/x
  3. Step 3: Cross multiply
    956.49x = 1,432.62 × 930.66
  4. Step 4: Simplify right side
    956.49x = 1,333,282.13
  5. Step 5: Solve for x
    x = 1,333,282.13/956.49
  6. Step 6: Final answer
    x = 1,393.93

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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.