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Finding the Fourth Proportional to 1,253.47, 1,879.57 and 522.85

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Solution

The fourth proportional to 1,253.47, 1,879.57 and 522.85 is: 784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.47 : 1,879.57 = 522.85 : x
  2. Step 2: Convert to fraction form
    1,253.47/1,879.57 = 522.85/x
  3. Step 3: Cross multiply
    1,253.47x = 1,879.57 × 522.85
  4. Step 4: Simplify right side
    1,253.47x = 982,733.17
  5. Step 5: Solve for x
    x = 982,733.17/1,253.47
  6. Step 6: Final answer
    x = 784.01

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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.