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Finding the Fourth Proportional to 540.95, 746.54 and 424.31

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Solution

The fourth proportional to 540.95, 746.54 and 424.31 is: 585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.95 : 746.54 = 424.31 : x
  2. Step 2: Convert to fraction form
    540.95/746.54 = 424.31/x
  3. Step 3: Cross multiply
    540.95x = 746.54 × 424.31
  4. Step 4: Simplify right side
    540.95x = 316,764.39
  5. Step 5: Solve for x
    x = 316,764.39/540.95
  6. Step 6: Final answer
    x = 585.57

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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.