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Finding the Fourth Proportional to 763.74, 1,138.29 and 616.86

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Solution

The fourth proportional to 763.74, 1,138.29 and 616.86 is: 919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.74 : 1,138.29 = 616.86 : x
  2. Step 2: Convert to fraction form
    763.74/1,138.29 = 616.86/x
  3. Step 3: Cross multiply
    763.74x = 1,138.29 × 616.86
  4. Step 4: Simplify right side
    763.74x = 702,165.57
  5. Step 5: Solve for x
    x = 702,165.57/763.74
  6. Step 6: Final answer
    x = 919.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.