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Finding the Fourth Proportional to 763.78, 1,144.85 and 580.72

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Solution

The fourth proportional to 763.78, 1,144.85 and 580.72 is: 870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.78 : 1,144.85 = 580.72 : x
  2. Step 2: Convert to fraction form
    763.78/1,144.85 = 580.72/x
  3. Step 3: Cross multiply
    763.78x = 1,144.85 × 580.72
  4. Step 4: Simplify right side
    763.78x = 664,831.57
  5. Step 5: Solve for x
    x = 664,831.57/763.78
  6. Step 6: Final answer
    x = 870.45

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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.