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Finding the Fourth Proportional to 582.99, 868.77 and 567.15

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Solution

The fourth proportional to 582.99, 868.77 and 567.15 is: 845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.99 : 868.77 = 567.15 : x
  2. Step 2: Convert to fraction form
    582.99/868.77 = 567.15/x
  3. Step 3: Cross multiply
    582.99x = 868.77 × 567.15
  4. Step 4: Simplify right side
    582.99x = 492,722.91
  5. Step 5: Solve for x
    x = 492,722.91/582.99
  6. Step 6: Final answer
    x = 845.17

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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.