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Finding the Fourth Proportional to 923.11, 1,385.07 and 853.45

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Solution

The fourth proportional to 923.11, 1,385.07 and 853.45 is: 1,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.11 : 1,385.07 = 853.45 : x
  2. Step 2: Convert to fraction form
    923.11/1,385.07 = 853.45/x
  3. Step 3: Cross multiply
    923.11x = 1,385.07 × 853.45
  4. Step 4: Simplify right side
    923.11x = 1,182,087.99
  5. Step 5: Solve for x
    x = 1,182,087.99/923.11
  6. Step 6: Final answer
    x = 1,280.55

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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.