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Finding the Fourth Proportional to 835.47, 1,253.22 and 219.23

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Solution

The fourth proportional to 835.47, 1,253.22 and 219.23 is: 328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.47 : 1,253.22 = 219.23 : x
  2. Step 2: Convert to fraction form
    835.47/1,253.22 = 219.23/x
  3. Step 3: Cross multiply
    835.47x = 1,253.22 × 219.23
  4. Step 4: Simplify right side
    835.47x = 274,740.29
  5. Step 5: Solve for x
    x = 274,740.29/835.47
  6. Step 6: Final answer
    x = 328.85

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Double scale
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Similar ratio
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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.