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Finding the Fourth Proportional to 1,055.52, 1,456.79 and 635.94

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Solution

The fourth proportional to 1,055.52, 1,456.79 and 635.94 is: 877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.52 : 1,456.79 = 635.94 : x
  2. Step 2: Convert to fraction form
    1,055.52/1,456.79 = 635.94/x
  3. Step 3: Cross multiply
    1,055.52x = 1,456.79 × 635.94
  4. Step 4: Simplify right side
    1,055.52x = 926,427.85
  5. Step 5: Solve for x
    x = 926,427.85/1,055.52
  6. Step 6: Final answer
    x = 877.70

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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.