Home / 1,742.25-2,613.36-426.00

Finding the Fourth Proportional to 1,742.25, 2,613.36 and 426.00

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Solution

The fourth proportional to 1,742.25, 2,613.36 and 426.00 is: 639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.25 : 2,613.36 = 426.00 : x
  2. Step 2: Convert to fraction form
    1,742.25/2,613.36 = 426.00/x
  3. Step 3: Cross multiply
    1,742.25x = 2,613.36 × 426.00
  4. Step 4: Simplify right side
    1,742.25x = 1,113,295.76
  5. Step 5: Solve for x
    x = 1,113,295.76/1,742.25
  6. Step 6: Final answer
    x = 639.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.