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Finding the Fourth Proportional to 1,143.24, 1,715.82 and 566.76

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Solution

The fourth proportional to 1,143.24, 1,715.82 and 566.76 is: 850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.24 : 1,715.82 = 566.76 : x
  2. Step 2: Convert to fraction form
    1,143.24/1,715.82 = 566.76/x
  3. Step 3: Cross multiply
    1,143.24x = 1,715.82 × 566.76
  4. Step 4: Simplify right side
    1,143.24x = 972,458.14
  5. Step 5: Solve for x
    x = 972,458.14/1,143.24
  6. Step 6: Final answer
    x = 850.62

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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.