Home / 1,047.85-1,569.23-559.83

Finding the Fourth Proportional to 1,047.85, 1,569.23 and 559.83

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Solution

The fourth proportional to 1,047.85, 1,569.23 and 559.83 is: 838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.85 : 1,569.23 = 559.83 : x
  2. Step 2: Convert to fraction form
    1,047.85/1,569.23 = 559.83/x
  3. Step 3: Cross multiply
    1,047.85x = 1,569.23 × 559.83
  4. Step 4: Simplify right side
    1,047.85x = 878,494.18
  5. Step 5: Solve for x
    x = 878,494.18/1,047.85
  6. Step 6: Final answer
    x = 838.38

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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.