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Finding the Fourth Proportional to 922.24, 1,374.89 and 849.16

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Solution

The fourth proportional to 922.24, 1,374.89 and 849.16 is: 1,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.24 : 1,374.89 = 849.16 : x
  2. Step 2: Convert to fraction form
    922.24/1,374.89 = 849.16/x
  3. Step 3: Cross multiply
    922.24x = 1,374.89 × 849.16
  4. Step 4: Simplify right side
    922.24x = 1,167,501.59
  5. Step 5: Solve for x
    x = 1,167,501.59/922.24
  6. Step 6: Final answer
    x = 1,265.94

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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.