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Finding the Fourth Proportional to 582.87, 869.25 and 535.62

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Solution

The fourth proportional to 582.87, 869.25 and 535.62 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.87 : 869.25 = 535.62 : x
  2. Step 2: Convert to fraction form
    582.87/869.25 = 535.62/x
  3. Step 3: Cross multiply
    582.87x = 869.25 × 535.62
  4. Step 4: Simplify right side
    582.87x = 465,587.69
  5. Step 5: Solve for x
    x = 465,587.69/582.87
  6. Step 6: Final answer
    x = 798.78

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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.