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Finding the Fourth Proportional to 750.46, 1,125.70 and 339.61

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Solution

The fourth proportional to 750.46, 1,125.70 and 339.61 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.46 : 1,125.70 = 339.61 : x
  2. Step 2: Convert to fraction form
    750.46/1,125.70 = 339.61/x
  3. Step 3: Cross multiply
    750.46x = 1,125.70 × 339.61
  4. Step 4: Simplify right side
    750.46x = 382,295.31
  5. Step 5: Solve for x
    x = 382,295.31/750.46
  6. Step 6: Final answer
    x = 509.42

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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.