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Finding the Fourth Proportional to 763.88, 1,148.55 and 611.70

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Solution

The fourth proportional to 763.88, 1,148.55 and 611.70 is: 919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.88 : 1,148.55 = 611.70 : x
  2. Step 2: Convert to fraction form
    763.88/1,148.55 = 611.70/x
  3. Step 3: Cross multiply
    763.88x = 1,148.55 × 611.70
  4. Step 4: Simplify right side
    763.88x = 702,568.04
  5. Step 5: Solve for x
    x = 702,568.04/763.88
  6. Step 6: Final answer
    x = 919.74

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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.