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Finding the Fourth Proportional to 964.03, 1,439.07 and 847.26

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Solution

The fourth proportional to 964.03, 1,439.07 and 847.26 is: 1,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.03 : 1,439.07 = 847.26 : x
  2. Step 2: Convert to fraction form
    964.03/1,439.07 = 847.26/x
  3. Step 3: Cross multiply
    964.03x = 1,439.07 × 847.26
  4. Step 4: Simplify right side
    964.03x = 1,219,266.45
  5. Step 5: Solve for x
    x = 1,219,266.45/964.03
  6. Step 6: Final answer
    x = 1,264.76

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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.