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Finding the Fourth Proportional to 675.50, 1,012.86 and 401.76

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Solution

The fourth proportional to 675.50, 1,012.86 and 401.76 is: 602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 1,012.86 = 401.76 : x
  2. Step 2: Convert to fraction form
    675.50/1,012.86 = 401.76/x
  3. Step 3: Cross multiply
    675.50x = 1,012.86 × 401.76
  4. Step 4: Simplify right side
    675.50x = 406,926.63
  5. Step 5: Solve for x
    x = 406,926.63/675.50
  6. Step 6: Final answer
    x = 602.41

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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.