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Finding the Fourth Proportional to 1,196, 1,650.39 and 698.66

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Solution

The fourth proportional to 1,196, 1,650.39 and 698.66 is: 964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196 : 1,650.39 = 698.66 : x
  2. Step 2: Convert to fraction form
    1,196/1,650.39 = 698.66/x
  3. Step 3: Cross multiply
    1,196x = 1,650.39 × 698.66
  4. Step 4: Simplify right side
    1,196x = 1,153,061.48
  5. Step 5: Solve for x
    x = 1,153,061.48/1,196
  6. Step 6: Final answer
    x = 964.10

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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.