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Finding the Fourth Proportional to 750.22, 1,125.83 and 339.15

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Solution

The fourth proportional to 750.22, 1,125.83 and 339.15 is: 508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.22 : 1,125.83 = 339.15 : x
  2. Step 2: Convert to fraction form
    750.22/1,125.83 = 339.15/x
  3. Step 3: Cross multiply
    750.22x = 1,125.83 × 339.15
  4. Step 4: Simplify right side
    750.22x = 381,825.24
  5. Step 5: Solve for x
    x = 381,825.24/750.22
  6. Step 6: Final answer
    x = 508.95

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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.