Home / 1,538.13-2,306.91-442.27

Finding the Fourth Proportional to 1,538.13, 2,306.91 and 442.27

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Solution

The fourth proportional to 1,538.13, 2,306.91 and 442.27 is: 663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.13 : 2,306.91 = 442.27 : x
  2. Step 2: Convert to fraction form
    1,538.13/2,306.91 = 442.27/x
  3. Step 3: Cross multiply
    1,538.13x = 2,306.91 × 442.27
  4. Step 4: Simplify right side
    1,538.13x = 1,020,277.09
  5. Step 5: Solve for x
    x = 1,020,277.09/1,538.13
  6. Step 6: Final answer
    x = 663.32

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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.