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Finding the Fourth Proportional to 734.94, 1,088.65 and 726.75

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Solution

The fourth proportional to 734.94, 1,088.65 and 726.75 is: 1,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.94 : 1,088.65 = 726.75 : x
  2. Step 2: Convert to fraction form
    734.94/1,088.65 = 726.75/x
  3. Step 3: Cross multiply
    734.94x = 1,088.65 × 726.75
  4. Step 4: Simplify right side
    734.94x = 791,176.39
  5. Step 5: Solve for x
    x = 791,176.39/734.94
  6. Step 6: Final answer
    x = 1,076.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.