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Finding the Fourth Proportional to 1,137.97, 1,570.44 and 695.89

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Solution

The fourth proportional to 1,137.97, 1,570.44 and 695.89 is: 960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.97 : 1,570.44 = 695.89 : x
  2. Step 2: Convert to fraction form
    1,137.97/1,570.44 = 695.89/x
  3. Step 3: Cross multiply
    1,137.97x = 1,570.44 × 695.89
  4. Step 4: Simplify right side
    1,137.97x = 1,092,853.49
  5. Step 5: Solve for x
    x = 1,092,853.49/1,137.97
  6. Step 6: Final answer
    x = 960.35

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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.