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Finding the Fourth Proportional to 1,016.21, 1,523.48 and 431.66

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Solution

The fourth proportional to 1,016.21, 1,523.48 and 431.66 is: 647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.21 : 1,523.48 = 431.66 : x
  2. Step 2: Convert to fraction form
    1,016.21/1,523.48 = 431.66/x
  3. Step 3: Cross multiply
    1,016.21x = 1,523.48 × 431.66
  4. Step 4: Simplify right side
    1,016.21x = 657,627.03
  5. Step 5: Solve for x
    x = 657,627.03/1,016.21
  6. Step 6: Final answer
    x = 647.14

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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.