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Finding the Fourth Proportional to 723.47, 1,086.36 and 416.69

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Solution

The fourth proportional to 723.47, 1,086.36 and 416.69 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.47 : 1,086.36 = 416.69 : x
  2. Step 2: Convert to fraction form
    723.47/1,086.36 = 416.69/x
  3. Step 3: Cross multiply
    723.47x = 1,086.36 × 416.69
  4. Step 4: Simplify right side
    723.47x = 452,669.92
  5. Step 5: Solve for x
    x = 452,669.92/723.47
  6. Step 6: Final answer
    x = 625.70

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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.