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Finding the Fourth Proportional to 1,157.06, 1,743.53 and 956.13

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Solution

The fourth proportional to 1,157.06, 1,743.53 and 956.13 is: 1,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.06 : 1,743.53 = 956.13 : x
  2. Step 2: Convert to fraction form
    1,157.06/1,743.53 = 956.13/x
  3. Step 3: Cross multiply
    1,157.06x = 1,743.53 × 956.13
  4. Step 4: Simplify right side
    1,157.06x = 1,667,034.92
  5. Step 5: Solve for x
    x = 1,667,034.92/1,157.06
  6. Step 6: Final answer
    x = 1,440.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.