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Finding the Fourth Proportional to 743.24, 1,118.78 and 677.64

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Solution

The fourth proportional to 743.24, 1,118.78 and 677.64 is: 1,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.24 : 1,118.78 = 677.64 : x
  2. Step 2: Convert to fraction form
    743.24/1,118.78 = 677.64/x
  3. Step 3: Cross multiply
    743.24x = 1,118.78 × 677.64
  4. Step 4: Simplify right side
    743.24x = 758,130.08
  5. Step 5: Solve for x
    x = 758,130.08/743.24
  6. Step 6: Final answer
    x = 1,020.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.