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Finding the Fourth Proportional to 767.43, 1,150.76 and 455.40

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Solution

The fourth proportional to 767.43, 1,150.76 and 455.40 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.43 : 1,150.76 = 455.40 : x
  2. Step 2: Convert to fraction form
    767.43/1,150.76 = 455.40/x
  3. Step 3: Cross multiply
    767.43x = 1,150.76 × 455.40
  4. Step 4: Simplify right side
    767.43x = 524,053.83
  5. Step 5: Solve for x
    x = 524,053.83/767.43
  6. Step 6: Final answer
    x = 682.87

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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.