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Finding the Fourth Proportional to 868.26, 1,301.55 and 434.10

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Solution

The fourth proportional to 868.26, 1,301.55 and 434.10 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.26 : 1,301.55 = 434.10 : x
  2. Step 2: Convert to fraction form
    868.26/1,301.55 = 434.10/x
  3. Step 3: Cross multiply
    868.26x = 1,301.55 × 434.10
  4. Step 4: Simplify right side
    868.26x = 565,002.86
  5. Step 5: Solve for x
    x = 565,002.86/868.26
  6. Step 6: Final answer
    x = 650.73

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1.5x scale

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.