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Finding the Fourth Proportional to 655.31, 983.48 and 578.42

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Solution

The fourth proportional to 655.31, 983.48 and 578.42 is: 868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.31 : 983.48 = 578.42 : x
  2. Step 2: Convert to fraction form
    655.31/983.48 = 578.42/x
  3. Step 3: Cross multiply
    655.31x = 983.48 × 578.42
  4. Step 4: Simplify right side
    655.31x = 568,856.69
  5. Step 5: Solve for x
    x = 568,856.69/655.31
  6. Step 6: Final answer
    x = 868.08

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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.