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Finding the Fourth Proportional to 922, 1,374.86 and 855.04

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Solution

The fourth proportional to 922, 1,374.86 and 855.04 is: 1,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    922 : 1,374.86 = 855.04 : x
  2. Step 2: Convert to fraction form
    922/1,374.86 = 855.04/x
  3. Step 3: Cross multiply
    922x = 1,374.86 × 855.04
  4. Step 4: Simplify right side
    922x = 1,175,560.29
  5. Step 5: Solve for x
    x = 1,175,560.29/922
  6. Step 6: Final answer
    x = 1,275.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.