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Finding the Fourth Proportional to 951.45, 1,423.69 and 561.63

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Solution

The fourth proportional to 951.45, 1,423.69 and 561.63 is: 840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.45 : 1,423.69 = 561.63 : x
  2. Step 2: Convert to fraction form
    951.45/1,423.69 = 561.63/x
  3. Step 3: Cross multiply
    951.45x = 1,423.69 × 561.63
  4. Step 4: Simplify right side
    951.45x = 799,593.06
  5. Step 5: Solve for x
    x = 799,593.06/951.45
  6. Step 6: Final answer
    x = 840.40

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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.