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Finding the Fourth Proportional to 763.80, 1,144.20 and 438.24

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Solution

The fourth proportional to 763.80, 1,144.20 and 438.24 is: 656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.80 : 1,144.20 = 438.24 : x
  2. Step 2: Convert to fraction form
    763.80/1,144.20 = 438.24/x
  3. Step 3: Cross multiply
    763.80x = 1,144.20 × 438.24
  4. Step 4: Simplify right side
    763.80x = 501,434.21
  5. Step 5: Solve for x
    x = 501,434.21/763.80
  6. Step 6: Final answer
    x = 656.50

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Half scale
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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.