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Finding the Fourth Proportional to 866.53, 1,294.26 and 784.14

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Solution

The fourth proportional to 866.53, 1,294.26 and 784.14 is: 1,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.53 : 1,294.26 = 784.14 : x
  2. Step 2: Convert to fraction form
    866.53/1,294.26 = 784.14/x
  3. Step 3: Cross multiply
    866.53x = 1,294.26 × 784.14
  4. Step 4: Simplify right side
    866.53x = 1,014,877.65
  5. Step 5: Solve for x
    x = 1,014,877.65/866.53
  6. Step 6: Final answer
    x = 1,171.20

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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.