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Finding the Fourth Proportional to 546.20, 752.48 and 380.13

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Solution

The fourth proportional to 546.20, 752.48 and 380.13 is: 523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.20 : 752.48 = 380.13 : x
  2. Step 2: Convert to fraction form
    546.20/752.48 = 380.13/x
  3. Step 3: Cross multiply
    546.20x = 752.48 × 380.13
  4. Step 4: Simplify right side
    546.20x = 286,038.32
  5. Step 5: Solve for x
    x = 286,038.32/546.20
  6. Step 6: Final answer
    x = 523.69

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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.