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Finding the Fourth Proportional to 1,094.78, 1,642.61 and 656.87

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Solution

The fourth proportional to 1,094.78, 1,642.61 and 656.87 is: 985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,642.61 = 656.87 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,642.61 = 656.87/x
  3. Step 3: Cross multiply
    1,094.78x = 1,642.61 × 656.87
  4. Step 4: Simplify right side
    1,094.78x = 1,078,974.66
  5. Step 5: Solve for x
    x = 1,078,974.66/1,094.78
  6. Step 6: Final answer
    x = 985.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.