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Finding the Fourth Proportional to 487.21, 731.12 and 450.02

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Solution

The fourth proportional to 487.21, 731.12 and 450.02 is: 675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.21 : 731.12 = 450.02 : x
  2. Step 2: Convert to fraction form
    487.21/731.12 = 450.02/x
  3. Step 3: Cross multiply
    487.21x = 731.12 × 450.02
  4. Step 4: Simplify right side
    487.21x = 329,012.72
  5. Step 5: Solve for x
    x = 329,012.72/487.21
  6. Step 6: Final answer
    x = 675.30

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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.