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Finding the Fourth Proportional to 541.80, 747.78 and 432.12

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Solution

The fourth proportional to 541.80, 747.78 and 432.12 is: 596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 747.78 = 432.12 : x
  2. Step 2: Convert to fraction form
    541.80/747.78 = 432.12/x
  3. Step 3: Cross multiply
    541.80x = 747.78 × 432.12
  4. Step 4: Simplify right side
    541.80x = 323,130.69
  5. Step 5: Solve for x
    x = 323,130.69/541.80
  6. Step 6: Final answer
    x = 596.40

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1.5x scale

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.