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Finding the Fourth Proportional to 763.77, 1,147.05 and 679.05

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Solution

The fourth proportional to 763.77, 1,147.05 and 679.05 is: 1,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.77 : 1,147.05 = 679.05 : x
  2. Step 2: Convert to fraction form
    763.77/1,147.05 = 679.05/x
  3. Step 3: Cross multiply
    763.77x = 1,147.05 × 679.05
  4. Step 4: Simplify right side
    763.77x = 778,904.30
  5. Step 5: Solve for x
    x = 778,904.30/763.77
  6. Step 6: Final answer
    x = 1,019.82

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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.