Home / 1,570.20-2,355.44-415.95

Finding the Fourth Proportional to 1,570.20, 2,355.44 and 415.95

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Solution

The fourth proportional to 1,570.20, 2,355.44 and 415.95 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.20 : 2,355.44 = 415.95 : x
  2. Step 2: Convert to fraction form
    1,570.20/2,355.44 = 415.95/x
  3. Step 3: Cross multiply
    1,570.20x = 2,355.44 × 415.95
  4. Step 4: Simplify right side
    1,570.20x = 979,745.27
  5. Step 5: Solve for x
    x = 979,745.27/1,570.20
  6. Step 6: Final answer
    x = 623.96

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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.