Home / 1,570.38-2,355.32-416.22

Finding the Fourth Proportional to 1,570.38, 2,355.32 and 416.22

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Solution

The fourth proportional to 1,570.38, 2,355.32 and 416.22 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.38 : 2,355.32 = 416.22 : x
  2. Step 2: Convert to fraction form
    1,570.38/2,355.32 = 416.22/x
  3. Step 3: Cross multiply
    1,570.38x = 2,355.32 × 416.22
  4. Step 4: Simplify right side
    1,570.38x = 980,331.29
  5. Step 5: Solve for x
    x = 980,331.29/1,570.38
  6. Step 6: Final answer
    x = 624.26

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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.