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Finding the Fourth Proportional to 582.82, 869.80 and 543.94

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Solution

The fourth proportional to 582.82, 869.80 and 543.94 is: 811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.82 : 869.80 = 543.94 : x
  2. Step 2: Convert to fraction form
    582.82/869.80 = 543.94/x
  3. Step 3: Cross multiply
    582.82x = 869.80 × 543.94
  4. Step 4: Simplify right side
    582.82x = 473,119.01
  5. Step 5: Solve for x
    x = 473,119.01/582.82
  6. Step 6: Final answer
    x = 811.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.