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Finding the Fourth Proportional to 1,137.39, 1,570.64 and 857.15

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Solution

The fourth proportional to 1,137.39, 1,570.64 and 857.15 is: 1,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.39 : 1,570.64 = 857.15 : x
  2. Step 2: Convert to fraction form
    1,137.39/1,570.64 = 857.15/x
  3. Step 3: Cross multiply
    1,137.39x = 1,570.64 × 857.15
  4. Step 4: Simplify right side
    1,137.39x = 1,346,261.94
  5. Step 5: Solve for x
    x = 1,346,261.94/1,137.39
  6. Step 6: Final answer
    x = 1,183.64

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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.