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Finding the Fourth Proportional to 575.47, 862.82 and 283.04

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Solution

The fourth proportional to 575.47, 862.82 and 283.04 is: 424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.47 : 862.82 = 283.04 : x
  2. Step 2: Convert to fraction form
    575.47/862.82 = 283.04/x
  3. Step 3: Cross multiply
    575.47x = 862.82 × 283.04
  4. Step 4: Simplify right side
    575.47x = 244,206.84
  5. Step 5: Solve for x
    x = 244,206.84/575.47
  6. Step 6: Final answer
    x = 424.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.