Home / 1,539.20-2,309.70-565.40

Finding the Fourth Proportional to 1,539.20, 2,309.70 and 565.40

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Solution

The fourth proportional to 1,539.20, 2,309.70 and 565.40 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.20 : 2,309.70 = 565.40 : x
  2. Step 2: Convert to fraction form
    1,539.20/2,309.70 = 565.40/x
  3. Step 3: Cross multiply
    1,539.20x = 2,309.70 × 565.40
  4. Step 4: Simplify right side
    1,539.20x = 1,305,904.38
  5. Step 5: Solve for x
    x = 1,305,904.38/1,539.20
  6. Step 6: Final answer
    x = 848.43

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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.