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Finding the Fourth Proportional to 1,145.88, 1,719.36 and 529.78

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Solution

The fourth proportional to 1,145.88, 1,719.36 and 529.78 is: 794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.88 : 1,719.36 = 529.78 : x
  2. Step 2: Convert to fraction form
    1,145.88/1,719.36 = 529.78/x
  3. Step 3: Cross multiply
    1,145.88x = 1,719.36 × 529.78
  4. Step 4: Simplify right side
    1,145.88x = 910,882.54
  5. Step 5: Solve for x
    x = 910,882.54/1,145.88
  6. Step 6: Final answer
    x = 794.92

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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.