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Finding the Fourth Proportional to 674.21, 1,010.48 and 284.06

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Solution

The fourth proportional to 674.21, 1,010.48 and 284.06 is: 425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.21 : 1,010.48 = 284.06 : x
  2. Step 2: Convert to fraction form
    674.21/1,010.48 = 284.06/x
  3. Step 3: Cross multiply
    674.21x = 1,010.48 × 284.06
  4. Step 4: Simplify right side
    674.21x = 287,030.48
  5. Step 5: Solve for x
    x = 287,030.48/674.21
  6. Step 6: Final answer
    x = 425.73

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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.