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Finding the Fourth Proportional to 1,610.40, 2,415.38 and 570.43

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Solution

The fourth proportional to 1,610.40, 2,415.38 and 570.43 is: 855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.40 : 2,415.38 = 570.43 : x
  2. Step 2: Convert to fraction form
    1,610.40/2,415.38 = 570.43/x
  3. Step 3: Cross multiply
    1,610.40x = 2,415.38 × 570.43
  4. Step 4: Simplify right side
    1,610.40x = 1,377,793.14
  5. Step 5: Solve for x
    x = 1,377,793.14/1,610.40
  6. Step 6: Final answer
    x = 855.56

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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.