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Finding the Fourth Proportional to 726.02, 1,089.08 and 287.37

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Solution

The fourth proportional to 726.02, 1,089.08 and 287.37 is: 431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.02 : 1,089.08 = 287.37 : x
  2. Step 2: Convert to fraction form
    726.02/1,089.08 = 287.37/x
  3. Step 3: Cross multiply
    726.02x = 1,089.08 × 287.37
  4. Step 4: Simplify right side
    726.02x = 312,967.48
  5. Step 5: Solve for x
    x = 312,967.48/726.02
  6. Step 6: Final answer
    x = 431.08

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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.