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Finding the Fourth Proportional to 868.64, 1,301.49 and 429.30

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Solution

The fourth proportional to 868.64, 1,301.49 and 429.30 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,301.49 = 429.30 : x
  2. Step 2: Convert to fraction form
    868.64/1,301.49 = 429.30/x
  3. Step 3: Cross multiply
    868.64x = 1,301.49 × 429.30
  4. Step 4: Simplify right side
    868.64x = 558,729.66
  5. Step 5: Solve for x
    x = 558,729.66/868.64
  6. Step 6: Final answer
    x = 643.22

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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.