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Finding the Fourth Proportional to 1,194.93, 1,648.85 and 663.75

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Solution

The fourth proportional to 1,194.93, 1,648.85 and 663.75 is: 915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.93 : 1,648.85 = 663.75 : x
  2. Step 2: Convert to fraction form
    1,194.93/1,648.85 = 663.75/x
  3. Step 3: Cross multiply
    1,194.93x = 1,648.85 × 663.75
  4. Step 4: Simplify right side
    1,194.93x = 1,094,420.87
  5. Step 5: Solve for x
    x = 1,094,420.87/1,194.93
  6. Step 6: Final answer
    x = 915.89

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