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Finding the Fourth Proportional to 921.88, 1,376.06 and 857.89

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Solution

The fourth proportional to 921.88, 1,376.06 and 857.89 is: 1,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,376.06 = 857.89 : x
  2. Step 2: Convert to fraction form
    921.88/1,376.06 = 857.89/x
  3. Step 3: Cross multiply
    921.88x = 1,376.06 × 857.89
  4. Step 4: Simplify right side
    921.88x = 1,180,508.11
  5. Step 5: Solve for x
    x = 1,180,508.11/921.88
  6. Step 6: Final answer
    x = 1,280.54

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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.