Home / 1,098.27-1,646.14-610.35

Finding the Fourth Proportional to 1,098.27, 1,646.14 and 610.35

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Solution

The fourth proportional to 1,098.27, 1,646.14 and 610.35 is: 914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.27 : 1,646.14 = 610.35 : x
  2. Step 2: Convert to fraction form
    1,098.27/1,646.14 = 610.35/x
  3. Step 3: Cross multiply
    1,098.27x = 1,646.14 × 610.35
  4. Step 4: Simplify right side
    1,098.27x = 1,004,721.55
  5. Step 5: Solve for x
    x = 1,004,721.55/1,098.27
  6. Step 6: Final answer
    x = 914.82

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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.