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Finding the Fourth Proportional to 1,157.14, 1,596.70 and 659.69

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Solution

The fourth proportional to 1,157.14, 1,596.70 and 659.69 is: 910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.14 : 1,596.70 = 659.69 : x
  2. Step 2: Convert to fraction form
    1,157.14/1,596.70 = 659.69/x
  3. Step 3: Cross multiply
    1,157.14x = 1,596.70 × 659.69
  4. Step 4: Simplify right side
    1,157.14x = 1,053,327.02
  5. Step 5: Solve for x
    x = 1,053,327.02/1,157.14
  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.