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Finding the Fourth Proportional to 1,320.78, 1,823.40 and 901.75

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Solution

The fourth proportional to 1,320.78, 1,823.40 and 901.75 is: 1,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.78 : 1,823.40 = 901.75 : x
  2. Step 2: Convert to fraction form
    1,320.78/1,823.40 = 901.75/x
  3. Step 3: Cross multiply
    1,320.78x = 1,823.40 × 901.75
  4. Step 4: Simplify right side
    1,320.78x = 1,644,246.44
  5. Step 5: Solve for x
    x = 1,644,246.44/1,320.78
  6. Step 6: Final answer
    x = 1,244.91

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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.