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Finding the Fourth Proportional to 1,188.72, 1,638.92 and 975.26

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Solution

The fourth proportional to 1,188.72, 1,638.92 and 975.26 is: 1,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.72 : 1,638.92 = 975.26 : x
  2. Step 2: Convert to fraction form
    1,188.72/1,638.92 = 975.26/x
  3. Step 3: Cross multiply
    1,188.72x = 1,638.92 × 975.26
  4. Step 4: Simplify right side
    1,188.72x = 1,598,373.12
  5. Step 5: Solve for x
    x = 1,598,373.12/1,188.72
  6. Step 6: Final answer
    x = 1,344.62

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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.