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Finding the Fourth Proportional to 763.88, 1,143.47 and 490.23

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Solution

The fourth proportional to 763.88, 1,143.47 and 490.23 is: 733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.88 : 1,143.47 = 490.23 : x
  2. Step 2: Convert to fraction form
    763.88/1,143.47 = 490.23/x
  3. Step 3: Cross multiply
    763.88x = 1,143.47 × 490.23
  4. Step 4: Simplify right side
    763.88x = 560,560.85
  5. Step 5: Solve for x
    x = 560,560.85/763.88
  6. Step 6: Final answer
    x = 733.84

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Double scale
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1.5x scale

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.