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Finding the Fourth Proportional to 583.92, 875.82 and 447.24

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Solution

The fourth proportional to 583.92, 875.82 and 447.24 is: 670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 875.82 = 447.24 : x
  2. Step 2: Convert to fraction form
    583.92/875.82 = 447.24/x
  3. Step 3: Cross multiply
    583.92x = 875.82 × 447.24
  4. Step 4: Simplify right side
    583.92x = 391,701.74
  5. Step 5: Solve for x
    x = 391,701.74/583.92
  6. Step 6: Final answer
    x = 670.81

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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.