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Finding the Fourth Proportional to 711.10, 1,065.30 and 422.20

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Solution

The fourth proportional to 711.10, 1,065.30 and 422.20 is: 632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.10 : 1,065.30 = 422.20 : x
  2. Step 2: Convert to fraction form
    711.10/1,065.30 = 422.20/x
  3. Step 3: Cross multiply
    711.10x = 1,065.30 × 422.20
  4. Step 4: Simplify right side
    711.10x = 449,769.66
  5. Step 5: Solve for x
    x = 449,769.66/711.10
  6. Step 6: Final answer
    x = 632.50

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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.