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Finding the Fourth Proportional to 540.52, 746.34 and 442.60

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Solution

The fourth proportional to 540.52, 746.34 and 442.60 is: 611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.52 : 746.34 = 442.60 : x
  2. Step 2: Convert to fraction form
    540.52/746.34 = 442.60/x
  3. Step 3: Cross multiply
    540.52x = 746.34 × 442.60
  4. Step 4: Simplify right side
    540.52x = 330,330.08
  5. Step 5: Solve for x
    x = 330,330.08/540.52
  6. Step 6: Final answer
    x = 611.13

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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.