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Finding the Fourth Proportional to 726.31, 1,088.03 and 359.98

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Solution

The fourth proportional to 726.31, 1,088.03 and 359.98 is: 539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.31 : 1,088.03 = 359.98 : x
  2. Step 2: Convert to fraction form
    726.31/1,088.03 = 359.98/x
  3. Step 3: Cross multiply
    726.31x = 1,088.03 × 359.98
  4. Step 4: Simplify right side
    726.31x = 391,669.04
  5. Step 5: Solve for x
    x = 391,669.04/726.31
  6. Step 6: Final answer
    x = 539.26

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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.