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Finding the Fourth Proportional to 439.12, 602.65 and 397.59

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Solution

The fourth proportional to 439.12, 602.65 and 397.59 is: 545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.12 : 602.65 = 397.59 : x
  2. Step 2: Convert to fraction form
    439.12/602.65 = 397.59/x
  3. Step 3: Cross multiply
    439.12x = 602.65 × 397.59
  4. Step 4: Simplify right side
    439.12x = 239,603.61
  5. Step 5: Solve for x
    x = 239,603.61/439.12
  6. Step 6: Final answer
    x = 545.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.