Home / 1,580.20-2,370.30-656.40

Finding the Fourth Proportional to 1,580.20, 2,370.30 and 656.40

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Solution

The fourth proportional to 1,580.20, 2,370.30 and 656.40 is: 984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.20 : 2,370.30 = 656.40 : x
  2. Step 2: Convert to fraction form
    1,580.20/2,370.30 = 656.40/x
  3. Step 3: Cross multiply
    1,580.20x = 2,370.30 × 656.40
  4. Step 4: Simplify right side
    1,580.20x = 1,555,864.92
  5. Step 5: Solve for x
    x = 1,555,864.92/1,580.20
  6. Step 6: Final answer
    x = 984.60

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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.