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Finding the Fourth Proportional to 1,157.08, 1,596.49 and 659.74

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Solution

The fourth proportional to 1,157.08, 1,596.49 and 659.74 is: 910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.08 : 1,596.49 = 659.74 : x
  2. Step 2: Convert to fraction form
    1,157.08/1,596.49 = 659.74/x
  3. Step 3: Cross multiply
    1,157.08x = 1,596.49 × 659.74
  4. Step 4: Simplify right side
    1,157.08x = 1,053,268.31
  5. Step 5: Solve for x
    x = 1,053,268.31/1,157.08
  6. Step 6: Final answer
    x = 910.28

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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.