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Finding the Fourth Proportional to 618.30, 854.13 and 432.30

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Solution

The fourth proportional to 618.30, 854.13 and 432.30 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 854.13 = 432.30 : x
  2. Step 2: Convert to fraction form
    618.30/854.13 = 432.30/x
  3. Step 3: Cross multiply
    618.30x = 854.13 × 432.30
  4. Step 4: Simplify right side
    618.30x = 369,240.40
  5. Step 5: Solve for x
    x = 369,240.40/618.30
  6. Step 6: Final answer
    x = 597.19

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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.