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Finding the Fourth Proportional to 1,013.78, 1,396.95 and 699.14

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Solution

The fourth proportional to 1,013.78, 1,396.95 and 699.14 is: 963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.78 : 1,396.95 = 699.14 : x
  2. Step 2: Convert to fraction form
    1,013.78/1,396.95 = 699.14/x
  3. Step 3: Cross multiply
    1,013.78x = 1,396.95 × 699.14
  4. Step 4: Simplify right side
    1,013.78x = 976,663.62
  5. Step 5: Solve for x
    x = 976,663.62/1,013.78
  6. Step 6: Final answer
    x = 963.39

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1.5x scale

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.