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Finding the Fourth Proportional to 1,213.11, 1,820.56 and 901.47

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Solution

The fourth proportional to 1,213.11, 1,820.56 and 901.47 is: 1,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.11 : 1,820.56 = 901.47 : x
  2. Step 2: Convert to fraction form
    1,213.11/1,820.56 = 901.47/x
  3. Step 3: Cross multiply
    1,213.11x = 1,820.56 × 901.47
  4. Step 4: Simplify right side
    1,213.11x = 1,641,185.61
  5. Step 5: Solve for x
    x = 1,641,185.61/1,213.11
  6. Step 6: Final answer
    x = 1,352.88

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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.