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Finding the Fourth Proportional to 602.32, 898.42 and 576.40

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Solution

The fourth proportional to 602.32, 898.42 and 576.40 is: 859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.32 : 898.42 = 576.40 : x
  2. Step 2: Convert to fraction form
    602.32/898.42 = 576.40/x
  3. Step 3: Cross multiply
    602.32x = 898.42 × 576.40
  4. Step 4: Simplify right side
    602.32x = 517,849.29
  5. Step 5: Solve for x
    x = 517,849.29/602.32
  6. Step 6: Final answer
    x = 859.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.