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Finding the Fourth Proportional to 874.88, 1,206.48 and 580.16

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Solution

The fourth proportional to 874.88, 1,206.48 and 580.16 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.88 : 1,206.48 = 580.16 : x
  2. Step 2: Convert to fraction form
    874.88/1,206.48 = 580.16/x
  3. Step 3: Cross multiply
    874.88x = 1,206.48 × 580.16
  4. Step 4: Simplify right side
    874.88x = 699,951.44
  5. Step 5: Solve for x
    x = 699,951.44/874.88
  6. Step 6: Final answer
    x = 800.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.