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Finding the Fourth Proportional to 546.77, 754.77 and 400.46

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Solution

The fourth proportional to 546.77, 754.77 and 400.46 is: 552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.77 : 754.77 = 400.46 : x
  2. Step 2: Convert to fraction form
    546.77/754.77 = 400.46/x
  3. Step 3: Cross multiply
    546.77x = 754.77 × 400.46
  4. Step 4: Simplify right side
    546.77x = 302,251.42
  5. Step 5: Solve for x
    x = 302,251.42/546.77
  6. Step 6: Final answer
    x = 552.80

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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.