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Finding the Fourth Proportional to 762.69, 1,048.46 and 655.95

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Solution

The fourth proportional to 762.69, 1,048.46 and 655.95 is: 901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,048.46 = 655.95 : x
  2. Step 2: Convert to fraction form
    762.69/1,048.46 = 655.95/x
  3. Step 3: Cross multiply
    762.69x = 1,048.46 × 655.95
  4. Step 4: Simplify right side
    762.69x = 687,742.97
  5. Step 5: Solve for x
    x = 687,742.97/762.69
  6. Step 6: Final answer
    x = 901.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.