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Finding the Fourth Proportional to 726.15, 1,089.16 and 287.34

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Solution

The fourth proportional to 726.15, 1,089.16 and 287.34 is: 430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.15 : 1,089.16 = 287.34 : x
  2. Step 2: Convert to fraction form
    726.15/1,089.16 = 287.34/x
  3. Step 3: Cross multiply
    726.15x = 1,089.16 × 287.34
  4. Step 4: Simplify right side
    726.15x = 312,959.23
  5. Step 5: Solve for x
    x = 312,959.23/726.15
  6. Step 6: Final answer
    x = 430.98

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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.