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Finding the Fourth Proportional to 542.94, 748.90 and 346.70

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Solution

The fourth proportional to 542.94, 748.90 and 346.70 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 748.90 = 346.70 : x
  2. Step 2: Convert to fraction form
    542.94/748.90 = 346.70/x
  3. Step 3: Cross multiply
    542.94x = 748.90 × 346.70
  4. Step 4: Simplify right side
    542.94x = 259,643.63
  5. Step 5: Solve for x
    x = 259,643.63/542.94
  6. Step 6: Final answer
    x = 478.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.