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Finding the Fourth Proportional to 1,317.51, 1,974.42 and 905.61

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Solution

The fourth proportional to 1,317.51, 1,974.42 and 905.61 is: 1,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.51 : 1,974.42 = 905.61 : x
  2. Step 2: Convert to fraction form
    1,317.51/1,974.42 = 905.61/x
  3. Step 3: Cross multiply
    1,317.51x = 1,974.42 × 905.61
  4. Step 4: Simplify right side
    1,317.51x = 1,788,054.50
  5. Step 5: Solve for x
    x = 1,788,054.50/1,317.51
  6. Step 6: Final answer
    x = 1,357.15

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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.