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Finding the Fourth Proportional to 542.66, 748.58 and 345.84

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Solution

The fourth proportional to 542.66, 748.58 and 345.84 is: 477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.66 : 748.58 = 345.84 : x
  2. Step 2: Convert to fraction form
    542.66/748.58 = 345.84/x
  3. Step 3: Cross multiply
    542.66x = 748.58 × 345.84
  4. Step 4: Simplify right side
    542.66x = 258,888.91
  5. Step 5: Solve for x
    x = 258,888.91/542.66
  6. Step 6: Final answer
    x = 477.07

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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.