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Finding the Fourth Proportional to 1,119.02, 1,677.33 and 729.32

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Solution

The fourth proportional to 1,119.02, 1,677.33 and 729.32 is: 1,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.02 : 1,677.33 = 729.32 : x
  2. Step 2: Convert to fraction form
    1,119.02/1,677.33 = 729.32/x
  3. Step 3: Cross multiply
    1,119.02x = 1,677.33 × 729.32
  4. Step 4: Simplify right side
    1,119.02x = 1,223,301.93
  5. Step 5: Solve for x
    x = 1,223,301.93/1,119.02
  6. Step 6: Final answer
    x = 1,093.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.