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Finding the Fourth Proportional to 866.89, 1,294.80 and 784.50

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Solution

The fourth proportional to 866.89, 1,294.80 and 784.50 is: 1,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.89 : 1,294.80 = 784.50 : x
  2. Step 2: Convert to fraction form
    866.89/1,294.80 = 784.50/x
  3. Step 3: Cross multiply
    866.89x = 1,294.80 × 784.50
  4. Step 4: Simplify right side
    866.89x = 1,015,764.13
  5. Step 5: Solve for x
    x = 1,015,764.13/866.89
  6. Step 6: Final answer
    x = 1,171.73

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1.5x scale

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.