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Finding the Fourth Proportional to 874.26, 1,206.06 and 558.96

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Solution

The fourth proportional to 874.26, 1,206.06 and 558.96 is: 771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,206.06 = 558.96 : x
  2. Step 2: Convert to fraction form
    874.26/1,206.06 = 558.96/x
  3. Step 3: Cross multiply
    874.26x = 1,206.06 × 558.96
  4. Step 4: Simplify right side
    874.26x = 674,139.30
  5. Step 5: Solve for x
    x = 674,139.30/874.26
  6. Step 6: Final answer
    x = 771.10

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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.