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Finding the Fourth Proportional to 618.24, 853.20 and 432.12

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Solution

The fourth proportional to 618.24, 853.20 and 432.12 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 853.20 = 432.12 : x
  2. Step 2: Convert to fraction form
    618.24/853.20 = 432.12/x
  3. Step 3: Cross multiply
    618.24x = 853.20 × 432.12
  4. Step 4: Simplify right side
    618.24x = 368,684.78
  5. Step 5: Solve for x
    x = 368,684.78/618.24
  6. Step 6: Final answer
    x = 596.35

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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.