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Finding the Fourth Proportional to 956.78, 1,432.73 and 876.59

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Solution

The fourth proportional to 956.78, 1,432.73 and 876.59 is: 1,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.78 : 1,432.73 = 876.59 : x
  2. Step 2: Convert to fraction form
    956.78/1,432.73 = 876.59/x
  3. Step 3: Cross multiply
    956.78x = 1,432.73 × 876.59
  4. Step 4: Simplify right side
    956.78x = 1,255,916.79
  5. Step 5: Solve for x
    x = 1,255,916.79/956.78
  6. Step 6: Final answer
    x = 1,312.65

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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.