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Finding the Fourth Proportional to 546.47, 752.95 and 371.51

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Solution

The fourth proportional to 546.47, 752.95 and 371.51 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 752.95 = 371.51 : x
  2. Step 2: Convert to fraction form
    546.47/752.95 = 371.51/x
  3. Step 3: Cross multiply
    546.47x = 752.95 × 371.51
  4. Step 4: Simplify right side
    546.47x = 279,728.45
  5. Step 5: Solve for x
    x = 279,728.45/546.47
  6. Step 6: Final answer
    x = 511.88

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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.