Home / 1,580.26-2,370.12-426.02

Finding the Fourth Proportional to 1,580.26, 2,370.12 and 426.02

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Solution

The fourth proportional to 1,580.26, 2,370.12 and 426.02 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.26 : 2,370.12 = 426.02 : x
  2. Step 2: Convert to fraction form
    1,580.26/2,370.12 = 426.02/x
  3. Step 3: Cross multiply
    1,580.26x = 2,370.12 × 426.02
  4. Step 4: Simplify right side
    1,580.26x = 1,009,718.52
  5. Step 5: Solve for x
    x = 1,009,718.52/1,580.26
  6. Step 6: Final answer
    x = 638.96

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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.