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Finding the Fourth Proportional to 880.59, 1,313.42 and 764.11

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Solution

The fourth proportional to 880.59, 1,313.42 and 764.11 is: 1,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.59 : 1,313.42 = 764.11 : x
  2. Step 2: Convert to fraction form
    880.59/1,313.42 = 764.11/x
  3. Step 3: Cross multiply
    880.59x = 1,313.42 × 764.11
  4. Step 4: Simplify right side
    880.59x = 1,003,597.36
  5. Step 5: Solve for x
    x = 1,003,597.36/880.59
  6. Step 6: Final answer
    x = 1,139.69

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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.