Home / 1,538.50-2,307.68-442.84

Finding the Fourth Proportional to 1,538.50, 2,307.68 and 442.84

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Solution

The fourth proportional to 1,538.50, 2,307.68 and 442.84 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.50 : 2,307.68 = 442.84 : x
  2. Step 2: Convert to fraction form
    1,538.50/2,307.68 = 442.84/x
  3. Step 3: Cross multiply
    1,538.50x = 2,307.68 × 442.84
  4. Step 4: Simplify right side
    1,538.50x = 1,021,933.01
  5. Step 5: Solve for x
    x = 1,021,933.01/1,538.50
  6. Step 6: Final answer
    x = 664.24

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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.