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Finding the Fourth Proportional to 693.11, 1,037.75 and 448.90

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Solution

The fourth proportional to 693.11, 1,037.75 and 448.90 is: 672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.11 : 1,037.75 = 448.90 : x
  2. Step 2: Convert to fraction form
    693.11/1,037.75 = 448.90/x
  3. Step 3: Cross multiply
    693.11x = 1,037.75 × 448.90
  4. Step 4: Simplify right side
    693.11x = 465,841.14
  5. Step 5: Solve for x
    x = 465,841.14/693.11
  6. Step 6: Final answer
    x = 672.10

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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.