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Finding the Fourth Proportional to 583.42, 875.14 and 547.78

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Solution

The fourth proportional to 583.42, 875.14 and 547.78 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 875.14 = 547.78 : x
  2. Step 2: Convert to fraction form
    583.42/875.14 = 547.78/x
  3. Step 3: Cross multiply
    583.42x = 875.14 × 547.78
  4. Step 4: Simplify right side
    583.42x = 479,384.19
  5. Step 5: Solve for x
    x = 479,384.19/583.42
  6. Step 6: Final answer
    x = 821.68

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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.