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Finding the Fourth Proportional to 1,538.58, 2,307.64 and 758.37

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Solution

The fourth proportional to 1,538.58, 2,307.64 and 758.37 is: 1,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.58 : 2,307.64 = 758.37 : x
  2. Step 2: Convert to fraction form
    1,538.58/2,307.64 = 758.37/x
  3. Step 3: Cross multiply
    1,538.58x = 2,307.64 × 758.37
  4. Step 4: Simplify right side
    1,538.58x = 1,750,044.95
  5. Step 5: Solve for x
    x = 1,750,044.95/1,538.58
  6. Step 6: Final answer
    x = 1,137.44

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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.