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Finding the Fourth Proportional to 580.74, 863.90 and 574.88

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Solution

The fourth proportional to 580.74, 863.90 and 574.88 is: 855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 863.90 = 574.88 : x
  2. Step 2: Convert to fraction form
    580.74/863.90 = 574.88/x
  3. Step 3: Cross multiply
    580.74x = 863.90 × 574.88
  4. Step 4: Simplify right side
    580.74x = 496,638.83
  5. Step 5: Solve for x
    x = 496,638.83/580.74
  6. Step 6: Final answer
    x = 855.18

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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.