Home / 1,542.26-2,314.40-568.35

Finding the Fourth Proportional to 1,542.26, 2,314.40 and 568.35

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Solution

The fourth proportional to 1,542.26, 2,314.40 and 568.35 is: 852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.26 : 2,314.40 = 568.35 : x
  2. Step 2: Convert to fraction form
    1,542.26/2,314.40 = 568.35/x
  3. Step 3: Cross multiply
    1,542.26x = 2,314.40 × 568.35
  4. Step 4: Simplify right side
    1,542.26x = 1,315,386.40
  5. Step 5: Solve for x
    x = 1,315,386.40/1,542.26
  6. Step 6: Final answer
    x = 852.90

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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.