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Finding the Fourth Proportional to 733.04, 1,011.76 and 422.72

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Solution

The fourth proportional to 733.04, 1,011.76 and 422.72 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.04 : 1,011.76 = 422.72 : x
  2. Step 2: Convert to fraction form
    733.04/1,011.76 = 422.72/x
  3. Step 3: Cross multiply
    733.04x = 1,011.76 × 422.72
  4. Step 4: Simplify right side
    733.04x = 427,691.19
  5. Step 5: Solve for x
    x = 427,691.19/733.04
  6. Step 6: Final answer
    x = 583.45

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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.