Home / 1,557.99-2,337.44-584.17

Finding the Fourth Proportional to 1,557.99, 2,337.44 and 584.17

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Solution

The fourth proportional to 1,557.99, 2,337.44 and 584.17 is: 876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.99 : 2,337.44 = 584.17 : x
  2. Step 2: Convert to fraction form
    1,557.99/2,337.44 = 584.17/x
  3. Step 3: Cross multiply
    1,557.99x = 2,337.44 × 584.17
  4. Step 4: Simplify right side
    1,557.99x = 1,365,453.56
  5. Step 5: Solve for x
    x = 1,365,453.56/1,557.99
  6. Step 6: Final answer
    x = 876.42

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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.