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Finding the Fourth Proportional to 634.47, 951.74 and 599.85

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Solution

The fourth proportional to 634.47, 951.74 and 599.85 is: 899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.47 : 951.74 = 599.85 : x
  2. Step 2: Convert to fraction form
    634.47/951.74 = 599.85/x
  3. Step 3: Cross multiply
    634.47x = 951.74 × 599.85
  4. Step 4: Simplify right side
    634.47x = 570,901.24
  5. Step 5: Solve for x
    x = 570,901.24/634.47
  6. Step 6: Final answer
    x = 899.81

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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.