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Finding the Fourth Proportional to 1,078.53, 1,487.51 and 636.42

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Solution

The fourth proportional to 1,078.53, 1,487.51 and 636.42 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.53 : 1,487.51 = 636.42 : x
  2. Step 2: Convert to fraction form
    1,078.53/1,487.51 = 636.42/x
  3. Step 3: Cross multiply
    1,078.53x = 1,487.51 × 636.42
  4. Step 4: Simplify right side
    1,078.53x = 946,689.48
  5. Step 5: Solve for x
    x = 946,689.48/1,078.53
  6. Step 6: Final answer
    x = 877.76

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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.