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Finding the Fourth Proportional to 846.56, 1,265.17 and 780.88

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Solution

The fourth proportional to 846.56, 1,265.17 and 780.88 is: 1,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.56 : 1,265.17 = 780.88 : x
  2. Step 2: Convert to fraction form
    846.56/1,265.17 = 780.88/x
  3. Step 3: Cross multiply
    846.56x = 1,265.17 × 780.88
  4. Step 4: Simplify right side
    846.56x = 987,945.95
  5. Step 5: Solve for x
    x = 987,945.95/846.56
  6. Step 6: Final answer
    x = 1,167.01

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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.