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Finding the Fourth Proportional to 1,085.07, 1,494.70 and 1,029.48

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Solution

The fourth proportional to 1,085.07, 1,494.70 and 1,029.48 is: 1,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.07 : 1,494.70 = 1,029.48 : x
  2. Step 2: Convert to fraction form
    1,085.07/1,494.70 = 1,029.48/x
  3. Step 3: Cross multiply
    1,085.07x = 1,494.70 × 1,029.48
  4. Step 4: Simplify right side
    1,085.07x = 1,538,763.76
  5. Step 5: Solve for x
    x = 1,538,763.76/1,085.07
  6. Step 6: Final answer
    x = 1,418.12

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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.