Home / 1,257.11-1,734.77-697.58

Finding the Fourth Proportional to 1,257.11, 1,734.77 and 697.58

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Solution

The fourth proportional to 1,257.11, 1,734.77 and 697.58 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.11 : 1,734.77 = 697.58 : x
  2. Step 2: Convert to fraction form
    1,257.11/1,734.77 = 697.58/x
  3. Step 3: Cross multiply
    1,257.11x = 1,734.77 × 697.58
  4. Step 4: Simplify right side
    1,257.11x = 1,210,140.43
  5. Step 5: Solve for x
    x = 1,210,140.43/1,257.11
  6. Step 6: Final answer
    x = 962.64

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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.