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Finding the Fourth Proportional to 542.29, 746.72 and 454.81

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Solution

The fourth proportional to 542.29, 746.72 and 454.81 is: 626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.29 : 746.72 = 454.81 : x
  2. Step 2: Convert to fraction form
    542.29/746.72 = 454.81/x
  3. Step 3: Cross multiply
    542.29x = 746.72 × 454.81
  4. Step 4: Simplify right side
    542.29x = 339,615.72
  5. Step 5: Solve for x
    x = 339,615.72/542.29
  6. Step 6: Final answer
    x = 626.26

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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.