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Finding the Fourth Proportional to 587.87, 879.84 and 580.10

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Solution

The fourth proportional to 587.87, 879.84 and 580.10 is: 868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.87 : 879.84 = 580.10 : x
  2. Step 2: Convert to fraction form
    587.87/879.84 = 580.10/x
  3. Step 3: Cross multiply
    587.87x = 879.84 × 580.10
  4. Step 4: Simplify right side
    587.87x = 510,395.18
  5. Step 5: Solve for x
    x = 510,395.18/587.87
  6. Step 6: Final answer
    x = 868.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.