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Finding the Fourth Proportional to 896.64, 1,238.40 and 691.20

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Solution

The fourth proportional to 896.64, 1,238.40 and 691.20 is: 954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.64 : 1,238.40 = 691.20 : x
  2. Step 2: Convert to fraction form
    896.64/1,238.40 = 691.20/x
  3. Step 3: Cross multiply
    896.64x = 1,238.40 × 691.20
  4. Step 4: Simplify right side
    896.64x = 855,982.08
  5. Step 5: Solve for x
    x = 855,982.08/896.64
  6. Step 6: Final answer
    x = 954.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.