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Finding the Fourth Proportional to 442.72, 607.10 and 398.92

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Solution

The fourth proportional to 442.72, 607.10 and 398.92 is: 547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 607.10 = 398.92 : x
  2. Step 2: Convert to fraction form
    442.72/607.10 = 398.92/x
  3. Step 3: Cross multiply
    442.72x = 607.10 × 398.92
  4. Step 4: Simplify right side
    442.72x = 242,184.33
  5. Step 5: Solve for x
    x = 242,184.33/442.72
  6. Step 6: Final answer
    x = 547.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.