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Finding the Fourth Proportional to 582.43, 803.08 and 442.20

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Solution

The fourth proportional to 582.43, 803.08 and 442.20 is: 609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.43 : 803.08 = 442.20 : x
  2. Step 2: Convert to fraction form
    582.43/803.08 = 442.20/x
  3. Step 3: Cross multiply
    582.43x = 803.08 × 442.20
  4. Step 4: Simplify right side
    582.43x = 355,121.98
  5. Step 5: Solve for x
    x = 355,121.98/582.43
  6. Step 6: Final answer
    x = 609.72

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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.