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Finding the Fourth Proportional to 1,188.31, 1,774.35 and 1,064.11

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Solution

The fourth proportional to 1,188.31, 1,774.35 and 1,064.11 is: 1,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.31 : 1,774.35 = 1,064.11 : x
  2. Step 2: Convert to fraction form
    1,188.31/1,774.35 = 1,064.11/x
  3. Step 3: Cross multiply
    1,188.31x = 1,774.35 × 1,064.11
  4. Step 4: Simplify right side
    1,188.31x = 1,888,103.58
  5. Step 5: Solve for x
    x = 1,888,103.58/1,188.31
  6. Step 6: Final answer
    x = 1,588.90

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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.