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Finding the Fourth Proportional to 733.42, 1,012.15 and 401.86

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Solution

The fourth proportional to 733.42, 1,012.15 and 401.86 is: 554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.42 : 1,012.15 = 401.86 : x
  2. Step 2: Convert to fraction form
    733.42/1,012.15 = 401.86/x
  3. Step 3: Cross multiply
    733.42x = 1,012.15 × 401.86
  4. Step 4: Simplify right side
    733.42x = 406,742.11
  5. Step 5: Solve for x
    x = 406,742.11/733.42
  6. Step 6: Final answer
    x = 554.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.