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Finding the Fourth Proportional to 951.32, 1,423.50 and 561.50

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Solution

The fourth proportional to 951.32, 1,423.50 and 561.50 is: 840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.32 : 1,423.50 = 561.50 : x
  2. Step 2: Convert to fraction form
    951.32/1,423.50 = 561.50/x
  3. Step 3: Cross multiply
    951.32x = 1,423.50 × 561.50
  4. Step 4: Simplify right side
    951.32x = 799,288.13
  5. Step 5: Solve for x
    x = 799,288.13/951.32
  6. Step 6: Final answer
    x = 840.19

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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.