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Finding the Fourth Proportional to 874.45, 1,309.45 and 565.89

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Solution

The fourth proportional to 874.45, 1,309.45 and 565.89 is: 847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.45 : 1,309.45 = 565.89 : x
  2. Step 2: Convert to fraction form
    874.45/1,309.45 = 565.89/x
  3. Step 3: Cross multiply
    874.45x = 1,309.45 × 565.89
  4. Step 4: Simplify right side
    874.45x = 741,004.66
  5. Step 5: Solve for x
    x = 741,004.66/874.45
  6. Step 6: Final answer
    x = 847.40

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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.