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Finding the Fourth Proportional to 634.30, 951.45 and 593.80

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Solution

The fourth proportional to 634.30, 951.45 and 593.80 is: 890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 951.45 = 593.80 : x
  2. Step 2: Convert to fraction form
    634.30/951.45 = 593.80/x
  3. Step 3: Cross multiply
    634.30x = 951.45 × 593.80
  4. Step 4: Simplify right side
    634.30x = 564,971.01
  5. Step 5: Solve for x
    x = 564,971.01/634.30
  6. Step 6: Final answer
    x = 890.70

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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.