Home / 1,538.20-2,306.94-564.40

Finding the Fourth Proportional to 1,538.20, 2,306.94 and 564.40

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Solution

The fourth proportional to 1,538.20, 2,306.94 and 564.40 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.20 : 2,306.94 = 564.40 : x
  2. Step 2: Convert to fraction form
    1,538.20/2,306.94 = 564.40/x
  3. Step 3: Cross multiply
    1,538.20x = 2,306.94 × 564.40
  4. Step 4: Simplify right side
    1,538.20x = 1,302,036.94
  5. Step 5: Solve for x
    x = 1,302,036.94/1,538.20
  6. Step 6: Final answer
    x = 846.47

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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.