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Finding the Fourth Proportional to 964.55, 1,439.84 and 847.78

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Solution

The fourth proportional to 964.55, 1,439.84 and 847.78 is: 1,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.55 : 1,439.84 = 847.78 : x
  2. Step 2: Convert to fraction form
    964.55/1,439.84 = 847.78/x
  3. Step 3: Cross multiply
    964.55x = 1,439.84 × 847.78
  4. Step 4: Simplify right side
    964.55x = 1,220,667.56
  5. Step 5: Solve for x
    x = 1,220,667.56/964.55
  6. Step 6: Final answer
    x = 1,265.53

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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.