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Finding the Fourth Proportional to 655.76, 983.48 and 450.29

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Solution

The fourth proportional to 655.76, 983.48 and 450.29 is: 675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 983.48 = 450.29 : x
  2. Step 2: Convert to fraction form
    655.76/983.48 = 450.29/x
  3. Step 3: Cross multiply
    655.76x = 983.48 × 450.29
  4. Step 4: Simplify right side
    655.76x = 442,851.42
  5. Step 5: Solve for x
    x = 442,851.42/655.76
  6. Step 6: Final answer
    x = 675.32

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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.