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Finding the Fourth Proportional to 582.18, 877.53 and 548.70

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Solution

The fourth proportional to 582.18, 877.53 and 548.70 is: 827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 877.53 = 548.70 : x
  2. Step 2: Convert to fraction form
    582.18/877.53 = 548.70/x
  3. Step 3: Cross multiply
    582.18x = 877.53 × 548.70
  4. Step 4: Simplify right side
    582.18x = 481,500.71
  5. Step 5: Solve for x
    x = 481,500.71/582.18
  6. Step 6: Final answer
    x = 827.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.