Home / 1,257.96-1,735.38-977.70

Finding the Fourth Proportional to 1,257.96, 1,735.38 and 977.70

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Solution

The fourth proportional to 1,257.96, 1,735.38 and 977.70 is: 1,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.96 : 1,735.38 = 977.70 : x
  2. Step 2: Convert to fraction form
    1,257.96/1,735.38 = 977.70/x
  3. Step 3: Cross multiply
    1,257.96x = 1,735.38 × 977.70
  4. Step 4: Simplify right side
    1,257.96x = 1,696,681.03
  5. Step 5: Solve for x
    x = 1,696,681.03/1,257.96
  6. Step 6: Final answer
    x = 1,348.76

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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.