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Finding the Fourth Proportional to 726.93, 1,088.84 and 418.64

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Solution

The fourth proportional to 726.93, 1,088.84 and 418.64 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.93 : 1,088.84 = 418.64 : x
  2. Step 2: Convert to fraction form
    726.93/1,088.84 = 418.64/x
  3. Step 3: Cross multiply
    726.93x = 1,088.84 × 418.64
  4. Step 4: Simplify right side
    726.93x = 455,827.58
  5. Step 5: Solve for x
    x = 455,827.58/726.93
  6. Step 6: Final answer
    x = 627.06

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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.