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Finding the Fourth Proportional to 726.48, 1,089.64 and 315.40

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Solution

The fourth proportional to 726.48, 1,089.64 and 315.40 is: 473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.48 : 1,089.64 = 315.40 : x
  2. Step 2: Convert to fraction form
    726.48/1,089.64 = 315.40/x
  3. Step 3: Cross multiply
    726.48x = 1,089.64 × 315.40
  4. Step 4: Simplify right side
    726.48x = 343,672.46
  5. Step 5: Solve for x
    x = 343,672.46/726.48
  6. Step 6: Final answer
    x = 473.07

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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.