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Finding the Fourth Proportional to 715.84, 1,067.76 and 650.24

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Solution

The fourth proportional to 715.84, 1,067.76 and 650.24 is: 969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.84 : 1,067.76 = 650.24 : x
  2. Step 2: Convert to fraction form
    715.84/1,067.76 = 650.24/x
  3. Step 3: Cross multiply
    715.84x = 1,067.76 × 650.24
  4. Step 4: Simplify right side
    715.84x = 694,300.26
  5. Step 5: Solve for x
    x = 694,300.26/715.84
  6. Step 6: Final answer
    x = 969.91

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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.