Home / 1,538.21-2,307.23-442.58

Finding the Fourth Proportional to 1,538.21, 2,307.23 and 442.58

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Solution

The fourth proportional to 1,538.21, 2,307.23 and 442.58 is: 663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.21 : 2,307.23 = 442.58 : x
  2. Step 2: Convert to fraction form
    1,538.21/2,307.23 = 442.58/x
  3. Step 3: Cross multiply
    1,538.21x = 2,307.23 × 442.58
  4. Step 4: Simplify right side
    1,538.21x = 1,021,120.10
  5. Step 5: Solve for x
    x = 1,021,120.10/1,538.21
  6. Step 6: Final answer
    x = 663.84

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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.