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Finding the Fourth Proportional to 977.36, 1,349.34 and 868.01

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Solution

The fourth proportional to 977.36, 1,349.34 and 868.01 is: 1,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,349.34 = 868.01 : x
  2. Step 2: Convert to fraction form
    977.36/1,349.34 = 868.01/x
  3. Step 3: Cross multiply
    977.36x = 1,349.34 × 868.01
  4. Step 4: Simplify right side
    977.36x = 1,171,240.61
  5. Step 5: Solve for x
    x = 1,171,240.61/977.36
  6. Step 6: Final answer
    x = 1,198.37

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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.