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Finding the Fourth Proportional to 546.32, 754.94 and 472.51

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Solution

The fourth proportional to 546.32, 754.94 and 472.51 is: 652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 754.94 = 472.51 : x
  2. Step 2: Convert to fraction form
    546.32/754.94 = 472.51/x
  3. Step 3: Cross multiply
    546.32x = 754.94 × 472.51
  4. Step 4: Simplify right side
    546.32x = 356,718.82
  5. Step 5: Solve for x
    x = 356,718.82/546.32
  6. Step 6: Final answer
    x = 652.95

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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.