Home / 1,571.38-2,356.83-417.22

Finding the Fourth Proportional to 1,571.38, 2,356.83 and 417.22

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Solution

The fourth proportional to 1,571.38, 2,356.83 and 417.22 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.38 : 2,356.83 = 417.22 : x
  2. Step 2: Convert to fraction form
    1,571.38/2,356.83 = 417.22/x
  3. Step 3: Cross multiply
    1,571.38x = 2,356.83 × 417.22
  4. Step 4: Simplify right side
    1,571.38x = 983,316.61
  5. Step 5: Solve for x
    x = 983,316.61/1,571.38
  6. Step 6: Final answer
    x = 625.77

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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.