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Finding the Fourth Proportional to 726.23, 1,089.54 and 315.42

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Solution

The fourth proportional to 726.23, 1,089.54 and 315.42 is: 473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.23 : 1,089.54 = 315.42 : x
  2. Step 2: Convert to fraction form
    726.23/1,089.54 = 315.42/x
  3. Step 3: Cross multiply
    726.23x = 1,089.54 × 315.42
  4. Step 4: Simplify right side
    726.23x = 343,662.71
  5. Step 5: Solve for x
    x = 343,662.71/726.23
  6. Step 6: Final answer
    x = 473.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.