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Finding the Fourth Proportional to 763.20, 1,144.56 and 438.72

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Solution

The fourth proportional to 763.20, 1,144.56 and 438.72 is: 657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.20 : 1,144.56 = 438.72 : x
  2. Step 2: Convert to fraction form
    763.20/1,144.56 = 438.72/x
  3. Step 3: Cross multiply
    763.20x = 1,144.56 × 438.72
  4. Step 4: Simplify right side
    763.20x = 502,141.36
  5. Step 5: Solve for x
    x = 502,141.36/763.20
  6. Step 6: Final answer
    x = 657.94

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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.