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Finding the Fourth Proportional to 1,648.02, 2,274.13 and 901.81

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Solution

The fourth proportional to 1,648.02, 2,274.13 and 901.81 is: 1,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.02 : 2,274.13 = 901.81 : x
  2. Step 2: Convert to fraction form
    1,648.02/2,274.13 = 901.81/x
  3. Step 3: Cross multiply
    1,648.02x = 2,274.13 × 901.81
  4. Step 4: Simplify right side
    1,648.02x = 2,050,833.18
  5. Step 5: Solve for x
    x = 2,050,833.18/1,648.02
  6. Step 6: Final answer
    x = 1,244.42

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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.