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Finding the Fourth Proportional to 868.61, 1,302.70 and 429.65

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Solution

The fourth proportional to 868.61, 1,302.70 and 429.65 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.61 : 1,302.70 = 429.65 : x
  2. Step 2: Convert to fraction form
    868.61/1,302.70 = 429.65/x
  3. Step 3: Cross multiply
    868.61x = 1,302.70 × 429.65
  4. Step 4: Simplify right side
    868.61x = 559,705.06
  5. Step 5: Solve for x
    x = 559,705.06/868.61
  6. Step 6: Final answer
    x = 644.37

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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.