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Finding the Fourth Proportional to 582.18, 803.84 and 553.17

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Solution

The fourth proportional to 582.18, 803.84 and 553.17 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 803.84 = 553.17 : x
  2. Step 2: Convert to fraction form
    582.18/803.84 = 553.17/x
  3. Step 3: Cross multiply
    582.18x = 803.84 × 553.17
  4. Step 4: Simplify right side
    582.18x = 444,660.17
  5. Step 5: Solve for x
    x = 444,660.17/582.18
  6. Step 6: Final answer
    x = 763.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.