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Finding the Fourth Proportional to 869.01, 1,302.05 and 429.68

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Solution

The fourth proportional to 869.01, 1,302.05 and 429.68 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.01 : 1,302.05 = 429.68 : x
  2. Step 2: Convert to fraction form
    869.01/1,302.05 = 429.68/x
  3. Step 3: Cross multiply
    869.01x = 1,302.05 × 429.68
  4. Step 4: Simplify right side
    869.01x = 559,456.19
  5. Step 5: Solve for x
    x = 559,456.19/869.01
  6. Step 6: Final answer
    x = 643.79

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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.