Home / 1,538.05-2,307.23-442.57

Finding the Fourth Proportional to 1,538.05, 2,307.23 and 442.57

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Solution

The fourth proportional to 1,538.05, 2,307.23 and 442.57 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.05 : 2,307.23 = 442.57 : x
  2. Step 2: Convert to fraction form
    1,538.05/2,307.23 = 442.57/x
  3. Step 3: Cross multiply
    1,538.05x = 2,307.23 × 442.57
  4. Step 4: Simplify right side
    1,538.05x = 1,021,114.03
  5. Step 5: Solve for x
    x = 1,021,114.03/1,538.05
  6. Step 6: Final answer
    x = 663.90

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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.