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Finding the Fourth Proportional to 1,193.70, 1,647.29 and 669.72

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Solution

The fourth proportional to 1,193.70, 1,647.29 and 669.72 is: 924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.70 : 1,647.29 = 669.72 : x
  2. Step 2: Convert to fraction form
    1,193.70/1,647.29 = 669.72/x
  3. Step 3: Cross multiply
    1,193.70x = 1,647.29 × 669.72
  4. Step 4: Simplify right side
    1,193.70x = 1,103,223.06
  5. Step 5: Solve for x
    x = 1,103,223.06/1,193.70
  6. Step 6: Final answer
    x = 924.20

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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.