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Finding the Fourth Proportional to 602.24, 903.62 and 397.71

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Solution

The fourth proportional to 602.24, 903.62 and 397.71 is: 596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.24 : 903.62 = 397.71 : x
  2. Step 2: Convert to fraction form
    602.24/903.62 = 397.71/x
  3. Step 3: Cross multiply
    602.24x = 903.62 × 397.71
  4. Step 4: Simplify right side
    602.24x = 359,379.70
  5. Step 5: Solve for x
    x = 359,379.70/602.24
  6. Step 6: Final answer
    x = 596.74

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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.