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Finding the Fourth Proportional to 1,610.42, 2,415.19 and 570.29

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Solution

The fourth proportional to 1,610.42, 2,415.19 and 570.29 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.42 : 2,415.19 = 570.29 : x
  2. Step 2: Convert to fraction form
    1,610.42/2,415.19 = 570.29/x
  3. Step 3: Cross multiply
    1,610.42x = 2,415.19 × 570.29
  4. Step 4: Simplify right side
    1,610.42x = 1,377,343.78
  5. Step 5: Solve for x
    x = 1,377,343.78/1,610.42
  6. Step 6: Final answer
    x = 855.27

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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.