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Finding the Fourth Proportional to 956.98, 1,432.22 and 572.50

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Solution

The fourth proportional to 956.98, 1,432.22 and 572.50 is: 856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.98 : 1,432.22 = 572.50 : x
  2. Step 2: Convert to fraction form
    956.98/1,432.22 = 572.50/x
  3. Step 3: Cross multiply
    956.98x = 1,432.22 × 572.50
  4. Step 4: Simplify right side
    956.98x = 819,938.79
  5. Step 5: Solve for x
    x = 819,938.79/956.98
  6. Step 6: Final answer
    x = 856.80

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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.