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Finding the Fourth Proportional to 726.35, 1,089.71 and 315.39

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Solution

The fourth proportional to 726.35, 1,089.71 and 315.39 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.35 : 1,089.71 = 315.39 : x
  2. Step 2: Convert to fraction form
    726.35/1,089.71 = 315.39/x
  3. Step 3: Cross multiply
    726.35x = 1,089.71 × 315.39
  4. Step 4: Simplify right side
    726.35x = 343,684.43
  5. Step 5: Solve for x
    x = 343,684.43/726.35
  6. Step 6: Final answer
    x = 473.16

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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.