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Finding the Fourth Proportional to 1,145.68, 1,715.92 and 528.46

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Solution

The fourth proportional to 1,145.68, 1,715.92 and 528.46 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.68 : 1,715.92 = 528.46 : x
  2. Step 2: Convert to fraction form
    1,145.68/1,715.92 = 528.46/x
  3. Step 3: Cross multiply
    1,145.68x = 1,715.92 × 528.46
  4. Step 4: Simplify right side
    1,145.68x = 906,789.47
  5. Step 5: Solve for x
    x = 906,789.47/1,145.68
  6. Step 6: Final answer
    x = 791.49

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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.