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Finding the Fourth Proportional to 733.44, 1,011.80 and 422.76

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Solution

The fourth proportional to 733.44, 1,011.80 and 422.76 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.44 : 1,011.80 = 422.76 : x
  2. Step 2: Convert to fraction form
    733.44/1,011.80 = 422.76/x
  3. Step 3: Cross multiply
    733.44x = 1,011.80 × 422.76
  4. Step 4: Simplify right side
    733.44x = 427,748.57
  5. Step 5: Solve for x
    x = 427,748.57/733.44
  6. Step 6: Final answer
    x = 583.21

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.