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Finding the Fourth Proportional to 1,137.85, 1,570.17 and 718.27

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Solution

The fourth proportional to 1,137.85, 1,570.17 and 718.27 is: 991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.85 : 1,570.17 = 718.27 : x
  2. Step 2: Convert to fraction form
    1,137.85/1,570.17 = 718.27/x
  3. Step 3: Cross multiply
    1,137.85x = 1,570.17 × 718.27
  4. Step 4: Simplify right side
    1,137.85x = 1,127,806.01
  5. Step 5: Solve for x
    x = 1,127,806.01/1,137.85
  6. Step 6: Final answer
    x = 991.17

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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.