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Finding the Fourth Proportional to 748.69, 1,033.14 and 429.62

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Solution

The fourth proportional to 748.69, 1,033.14 and 429.62 is: 592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.69 : 1,033.14 = 429.62 : x
  2. Step 2: Convert to fraction form
    748.69/1,033.14 = 429.62/x
  3. Step 3: Cross multiply
    748.69x = 1,033.14 × 429.62
  4. Step 4: Simplify right side
    748.69x = 443,857.45
  5. Step 5: Solve for x
    x = 443,857.45/748.69
  6. Step 6: Final answer
    x = 592.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.