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Finding the Fourth Proportional to 734.05, 1,106.35 and 726.76

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Solution

The fourth proportional to 734.05, 1,106.35 and 726.76 is: 1,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,106.35 = 726.76 : x
  2. Step 2: Convert to fraction form
    734.05/1,106.35 = 726.76/x
  3. Step 3: Cross multiply
    734.05x = 1,106.35 × 726.76
  4. Step 4: Simplify right side
    734.05x = 804,050.93
  5. Step 5: Solve for x
    x = 804,050.93/734.05
  6. Step 6: Final answer
    x = 1,095.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.