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Finding the Fourth Proportional to 546.57, 753.42 and 435.87

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Solution

The fourth proportional to 546.57, 753.42 and 435.87 is: 600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 753.42 = 435.87 : x
  2. Step 2: Convert to fraction form
    546.57/753.42 = 435.87/x
  3. Step 3: Cross multiply
    546.57x = 753.42 × 435.87
  4. Step 4: Simplify right side
    546.57x = 328,393.18
  5. Step 5: Solve for x
    x = 328,393.18/546.57
  6. Step 6: Final answer
    x = 600.83

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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.