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Finding the Fourth Proportional to 598.62, 898.20 and 574.32

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Solution

The fourth proportional to 598.62, 898.20 and 574.32 is: 861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 898.20 = 574.32 : x
  2. Step 2: Convert to fraction form
    598.62/898.20 = 574.32/x
  3. Step 3: Cross multiply
    598.62x = 898.20 × 574.32
  4. Step 4: Simplify right side
    598.62x = 515,854.22
  5. Step 5: Solve for x
    x = 515,854.22/598.62
  6. Step 6: Final answer
    x = 861.74

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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.