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Finding the Fourth Proportional to 750.25, 1,124.46 and 339.28

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Solution

The fourth proportional to 750.25, 1,124.46 and 339.28 is: 508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.25 : 1,124.46 = 339.28 : x
  2. Step 2: Convert to fraction form
    750.25/1,124.46 = 339.28/x
  3. Step 3: Cross multiply
    750.25x = 1,124.46 × 339.28
  4. Step 4: Simplify right side
    750.25x = 381,506.79
  5. Step 5: Solve for x
    x = 381,506.79/750.25
  6. Step 6: Final answer
    x = 508.51

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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.