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Finding the Fourth Proportional to 582.46, 872.15 and 548.74

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Solution

The fourth proportional to 582.46, 872.15 and 548.74 is: 821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.46 : 872.15 = 548.74 : x
  2. Step 2: Convert to fraction form
    582.46/872.15 = 548.74/x
  3. Step 3: Cross multiply
    582.46x = 872.15 × 548.74
  4. Step 4: Simplify right side
    582.46x = 478,576.49
  5. Step 5: Solve for x
    x = 478,576.49/582.46
  6. Step 6: Final answer
    x = 821.65

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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.