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Finding the Fourth Proportional to 1,077.34, 1,486.32 and 635.08

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Solution

The fourth proportional to 1,077.34, 1,486.32 and 635.08 is: 876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.34 : 1,486.32 = 635.08 : x
  2. Step 2: Convert to fraction form
    1,077.34/1,486.32 = 635.08/x
  3. Step 3: Cross multiply
    1,077.34x = 1,486.32 × 635.08
  4. Step 4: Simplify right side
    1,077.34x = 943,932.11
  5. Step 5: Solve for x
    x = 943,932.11/1,077.34
  6. Step 6: Final answer
    x = 876.17

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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.