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Finding the Fourth Proportional to 1,188.34, 1,639.64 and 746.08

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Solution

The fourth proportional to 1,188.34, 1,639.64 and 746.08 is: 1,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.34 : 1,639.64 = 746.08 : x
  2. Step 2: Convert to fraction form
    1,188.34/1,639.64 = 746.08/x
  3. Step 3: Cross multiply
    1,188.34x = 1,639.64 × 746.08
  4. Step 4: Simplify right side
    1,188.34x = 1,223,300.38
  5. Step 5: Solve for x
    x = 1,223,300.38/1,188.34
  6. Step 6: Final answer
    x = 1,029.42

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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.