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Finding the Fourth Proportional to 1,126.45, 1,689.78 and 579.10

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Solution

The fourth proportional to 1,126.45, 1,689.78 and 579.10 is: 868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.45 : 1,689.78 = 579.10 : x
  2. Step 2: Convert to fraction form
    1,126.45/1,689.78 = 579.10/x
  3. Step 3: Cross multiply
    1,126.45x = 1,689.78 × 579.10
  4. Step 4: Simplify right side
    1,126.45x = 978,551.60
  5. Step 5: Solve for x
    x = 978,551.60/1,126.45
  6. Step 6: Final answer
    x = 868.70

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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.