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Finding the Fourth Proportional to 581.16, 878.40 and 574.68

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Solution

The fourth proportional to 581.16, 878.40 and 574.68 is: 868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 878.40 = 574.68 : x
  2. Step 2: Convert to fraction form
    581.16/878.40 = 574.68/x
  3. Step 3: Cross multiply
    581.16x = 878.40 × 574.68
  4. Step 4: Simplify right side
    581.16x = 504,798.91
  5. Step 5: Solve for x
    x = 504,798.91/581.16
  6. Step 6: Final answer
    x = 868.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.