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Finding the Fourth Proportional to 1,013.78, 1,398.80 and 659.75

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Solution

The fourth proportional to 1,013.78, 1,398.80 and 659.75 is: 910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.78 : 1,398.80 = 659.75 : x
  2. Step 2: Convert to fraction form
    1,013.78/1,398.80 = 659.75/x
  3. Step 3: Cross multiply
    1,013.78x = 1,398.80 × 659.75
  4. Step 4: Simplify right side
    1,013.78x = 922,858.30
  5. Step 5: Solve for x
    x = 922,858.30/1,013.78
  6. Step 6: Final answer
    x = 910.31

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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.