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Finding the Fourth Proportional to 922.76, 1,381.49 and 857.89

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Solution

The fourth proportional to 922.76, 1,381.49 and 857.89 is: 1,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,381.49 = 857.89 : x
  2. Step 2: Convert to fraction form
    922.76/1,381.49 = 857.89/x
  3. Step 3: Cross multiply
    922.76x = 1,381.49 × 857.89
  4. Step 4: Simplify right side
    922.76x = 1,185,160.86
  5. Step 5: Solve for x
    x = 1,185,160.86/922.76
  6. Step 6: Final answer
    x = 1,284.37

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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.