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Finding the Fourth Proportional to 761.24, 1,050.39 and 446.48

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Solution

The fourth proportional to 761.24, 1,050.39 and 446.48 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.24 : 1,050.39 = 446.48 : x
  2. Step 2: Convert to fraction form
    761.24/1,050.39 = 446.48/x
  3. Step 3: Cross multiply
    761.24x = 1,050.39 × 446.48
  4. Step 4: Simplify right side
    761.24x = 468,972.88
  5. Step 5: Solve for x
    x = 468,972.88/761.24
  6. Step 6: Final answer
    x = 616.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.