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Finding the Fourth Proportional to 726.10, 1,088.84 and 287.28

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Solution

The fourth proportional to 726.10, 1,088.84 and 287.28 is: 430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.10 : 1,088.84 = 287.28 : x
  2. Step 2: Convert to fraction form
    726.10/1,088.84 = 287.28/x
  3. Step 3: Cross multiply
    726.10x = 1,088.84 × 287.28
  4. Step 4: Simplify right side
    726.10x = 312,801.96
  5. Step 5: Solve for x
    x = 312,801.96/726.10
  6. Step 6: Final answer
    x = 430.80

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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.