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Finding the Fourth Proportional to 1,102.77, 1,522.40 and 853.53

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Solution

The fourth proportional to 1,102.77, 1,522.40 and 853.53 is: 1,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.77 : 1,522.40 = 853.53 : x
  2. Step 2: Convert to fraction form
    1,102.77/1,522.40 = 853.53/x
  3. Step 3: Cross multiply
    1,102.77x = 1,522.40 × 853.53
  4. Step 4: Simplify right side
    1,102.77x = 1,299,409.80
  5. Step 5: Solve for x
    x = 1,299,409.80/1,102.77
  6. Step 6: Final answer
    x = 1,178.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.