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Finding the Fourth Proportional to 442.78, 611.52 and 405.87

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Solution

The fourth proportional to 442.78, 611.52 and 405.87 is: 560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 611.52 = 405.87 : x
  2. Step 2: Convert to fraction form
    442.78/611.52 = 405.87/x
  3. Step 3: Cross multiply
    442.78x = 611.52 × 405.87
  4. Step 4: Simplify right side
    442.78x = 248,195.59
  5. Step 5: Solve for x
    x = 248,195.59/442.78
  6. Step 6: Final answer
    x = 560.55

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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.