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Finding the Fourth Proportional to 1,137.56, 1,568.88 and 695.30

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Solution

The fourth proportional to 1,137.56, 1,568.88 and 695.30 is: 958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.56 : 1,568.88 = 695.30 : x
  2. Step 2: Convert to fraction form
    1,137.56/1,568.88 = 695.30/x
  3. Step 3: Cross multiply
    1,137.56x = 1,568.88 × 695.30
  4. Step 4: Simplify right side
    1,137.56x = 1,090,842.26
  5. Step 5: Solve for x
    x = 1,090,842.26/1,137.56
  6. Step 6: Final answer
    x = 958.93

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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.