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Finding the Fourth Proportional to 877.05, 1,309.25 and 746.17

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Solution

The fourth proportional to 877.05, 1,309.25 and 746.17 is: 1,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.05 : 1,309.25 = 746.17 : x
  2. Step 2: Convert to fraction form
    877.05/1,309.25 = 746.17/x
  3. Step 3: Cross multiply
    877.05x = 1,309.25 × 746.17
  4. Step 4: Simplify right side
    877.05x = 976,923.07
  5. Step 5: Solve for x
    x = 976,923.07/877.05
  6. Step 6: Final answer
    x = 1,113.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.