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Finding the Fourth Proportional to 542.93, 817.62 and 506.48

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Solution

The fourth proportional to 542.93, 817.62 and 506.48 is: 762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 817.62 = 506.48 : x
  2. Step 2: Convert to fraction form
    542.93/817.62 = 506.48/x
  3. Step 3: Cross multiply
    542.93x = 817.62 × 506.48
  4. Step 4: Simplify right side
    542.93x = 414,101.56
  5. Step 5: Solve for x
    x = 414,101.56/542.93
  6. Step 6: Final answer
    x = 762.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.