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Finding the Fourth Proportional to 1,148.52, 1,722.96 and 378.84

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Solution

The fourth proportional to 1,148.52, 1,722.96 and 378.84 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.52 : 1,722.96 = 378.84 : x
  2. Step 2: Convert to fraction form
    1,148.52/1,722.96 = 378.84/x
  3. Step 3: Cross multiply
    1,148.52x = 1,722.96 × 378.84
  4. Step 4: Simplify right side
    1,148.52x = 652,726.17
  5. Step 5: Solve for x
    x = 652,726.17/1,148.52
  6. Step 6: Final answer
    x = 568.32

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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.