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Finding the Fourth Proportional to 868.26, 1,302.89 and 435.42

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Solution

The fourth proportional to 868.26, 1,302.89 and 435.42 is: 653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.26 : 1,302.89 = 435.42 : x
  2. Step 2: Convert to fraction form
    868.26/1,302.89 = 435.42/x
  3. Step 3: Cross multiply
    868.26x = 1,302.89 × 435.42
  4. Step 4: Simplify right side
    868.26x = 567,304.36
  5. Step 5: Solve for x
    x = 567,304.36/868.26
  6. Step 6: Final answer
    x = 653.38

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Double scale
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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.