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Finding the Fourth Proportional to 1,119.69, 1,679.54 and 935.01

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Solution

The fourth proportional to 1,119.69, 1,679.54 and 935.01 is: 1,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.69 : 1,679.54 = 935.01 : x
  2. Step 2: Convert to fraction form
    1,119.69/1,679.54 = 935.01/x
  3. Step 3: Cross multiply
    1,119.69x = 1,679.54 × 935.01
  4. Step 4: Simplify right side
    1,119.69x = 1,570,382.02
  5. Step 5: Solve for x
    x = 1,570,382.02/1,119.69
  6. Step 6: Final answer
    x = 1,402.52

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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.