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Finding the Fourth Proportional to 1,138.93, 1,708.35 and 317.14

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Solution

The fourth proportional to 1,138.93, 1,708.35 and 317.14 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.93 : 1,708.35 = 317.14 : x
  2. Step 2: Convert to fraction form
    1,138.93/1,708.35 = 317.14/x
  3. Step 3: Cross multiply
    1,138.93x = 1,708.35 × 317.14
  4. Step 4: Simplify right side
    1,138.93x = 541,786.12
  5. Step 5: Solve for x
    x = 541,786.12/1,138.93
  6. Step 6: Final answer
    x = 475.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.