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Finding the Fourth Proportional to 964.05, 1,439.10 and 847.28

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Solution

The fourth proportional to 964.05, 1,439.10 and 847.28 is: 1,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.05 : 1,439.10 = 847.28 : x
  2. Step 2: Convert to fraction form
    964.05/1,439.10 = 847.28/x
  3. Step 3: Cross multiply
    964.05x = 1,439.10 × 847.28
  4. Step 4: Simplify right side
    964.05x = 1,219,320.65
  5. Step 5: Solve for x
    x = 1,219,320.65/964.05
  6. Step 6: Final answer
    x = 1,264.79

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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.