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Finding the Fourth Proportional to 1,119.72, 1,682.02 and 946.74

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Solution

The fourth proportional to 1,119.72, 1,682.02 and 946.74 is: 1,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.72 : 1,682.02 = 946.74 : x
  2. Step 2: Convert to fraction form
    1,119.72/1,682.02 = 946.74/x
  3. Step 3: Cross multiply
    1,119.72x = 1,682.02 × 946.74
  4. Step 4: Simplify right side
    1,119.72x = 1,592,428.32
  5. Step 5: Solve for x
    x = 1,592,428.32/1,119.72
  6. Step 6: Final answer
    x = 1,422.16

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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.