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Finding the Fourth Proportional to 581.99, 867.28 and 566.15

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Solution

The fourth proportional to 581.99, 867.28 and 566.15 is: 843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.99 : 867.28 = 566.15 : x
  2. Step 2: Convert to fraction form
    581.99/867.28 = 566.15/x
  3. Step 3: Cross multiply
    581.99x = 867.28 × 566.15
  4. Step 4: Simplify right side
    581.99x = 491,010.57
  5. Step 5: Solve for x
    x = 491,010.57/581.99
  6. Step 6: Final answer
    x = 843.68

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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.