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Finding the Fourth Proportional to 1,137.08, 1,708.66 and 617.46

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Solution

The fourth proportional to 1,137.08, 1,708.66 and 617.46 is: 927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.08 : 1,708.66 = 617.46 : x
  2. Step 2: Convert to fraction form
    1,137.08/1,708.66 = 617.46/x
  3. Step 3: Cross multiply
    1,137.08x = 1,708.66 × 617.46
  4. Step 4: Simplify right side
    1,137.08x = 1,055,029.20
  5. Step 5: Solve for x
    x = 1,055,029.20/1,137.08
  6. Step 6: Final answer
    x = 927.84

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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.