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Finding the Fourth Proportional to 1,102.12, 1,653.56 and 690.78

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Solution

The fourth proportional to 1,102.12, 1,653.56 and 690.78 is: 1,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.12 : 1,653.56 = 690.78 : x
  2. Step 2: Convert to fraction form
    1,102.12/1,653.56 = 690.78/x
  3. Step 3: Cross multiply
    1,102.12x = 1,653.56 × 690.78
  4. Step 4: Simplify right side
    1,102.12x = 1,142,246.10
  5. Step 5: Solve for x
    x = 1,142,246.10/1,102.12
  6. Step 6: Final answer
    x = 1,036.41

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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.