Home / 1,538.31-2,307.42-442.68

Finding the Fourth Proportional to 1,538.31, 2,307.42 and 442.68

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Solution

The fourth proportional to 1,538.31, 2,307.42 and 442.68 is: 664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.31 : 2,307.42 = 442.68 : x
  2. Step 2: Convert to fraction form
    1,538.31/2,307.42 = 442.68/x
  3. Step 3: Cross multiply
    1,538.31x = 2,307.42 × 442.68
  4. Step 4: Simplify right side
    1,538.31x = 1,021,448.69
  5. Step 5: Solve for x
    x = 1,021,448.69/1,538.31
  6. Step 6: Final answer
    x = 664.01

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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.