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Finding the Fourth Proportional to 1,237.40, 1,708.42 and 957.14

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Solution

The fourth proportional to 1,237.40, 1,708.42 and 957.14 is: 1,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.40 : 1,708.42 = 957.14 : x
  2. Step 2: Convert to fraction form
    1,237.40/1,708.42 = 957.14/x
  3. Step 3: Cross multiply
    1,237.40x = 1,708.42 × 957.14
  4. Step 4: Simplify right side
    1,237.40x = 1,635,197.12
  5. Step 5: Solve for x
    x = 1,635,197.12/1,237.40
  6. Step 6: Final answer
    x = 1,321.48

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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.