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Finding the Fourth Proportional to 619.32, 853.19 and 432.47

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Solution

The fourth proportional to 619.32, 853.19 and 432.47 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 853.19 = 432.47 : x
  2. Step 2: Convert to fraction form
    619.32/853.19 = 432.47/x
  3. Step 3: Cross multiply
    619.32x = 853.19 × 432.47
  4. Step 4: Simplify right side
    619.32x = 368,979.08
  5. Step 5: Solve for x
    x = 368,979.08/619.32
  6. Step 6: Final answer
    x = 595.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.