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Finding the Fourth Proportional to 1,166.17, 1,748.61 and 579.88

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Solution

The fourth proportional to 1,166.17, 1,748.61 and 579.88 is: 869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.17 : 1,748.61 = 579.88 : x
  2. Step 2: Convert to fraction form
    1,166.17/1,748.61 = 579.88/x
  3. Step 3: Cross multiply
    1,166.17x = 1,748.61 × 579.88
  4. Step 4: Simplify right side
    1,166.17x = 1,013,983.97
  5. Step 5: Solve for x
    x = 1,013,983.97/1,166.17
  6. Step 6: Final answer
    x = 869.50

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Double scale
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1.5x scale

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.