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Finding the Fourth Proportional to 1,294.07, 1,785.53 and 1,085.09

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Solution

The fourth proportional to 1,294.07, 1,785.53 and 1,085.09 is: 1,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.07 : 1,785.53 = 1,085.09 : x
  2. Step 2: Convert to fraction form
    1,294.07/1,785.53 = 1,085.09/x
  3. Step 3: Cross multiply
    1,294.07x = 1,785.53 × 1,085.09
  4. Step 4: Simplify right side
    1,294.07x = 1,937,455.32
  5. Step 5: Solve for x
    x = 1,937,455.32/1,294.07
  6. Step 6: Final answer
    x = 1,497.18

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Why These Related Problems?

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