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Finding the Fourth Proportional to 877.04, 1,321.40 and 793.76

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Solution

The fourth proportional to 877.04, 1,321.40 and 793.76 is: 1,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.04 : 1,321.40 = 793.76 : x
  2. Step 2: Convert to fraction form
    877.04/1,321.40 = 793.76/x
  3. Step 3: Cross multiply
    877.04x = 1,321.40 × 793.76
  4. Step 4: Simplify right side
    877.04x = 1,048,874.46
  5. Step 5: Solve for x
    x = 1,048,874.46/877.04
  6. Step 6: Final answer
    x = 1,195.93

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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.