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Finding the Fourth Proportional to 655.63, 983.72 and 347.41

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Solution

The fourth proportional to 655.63, 983.72 and 347.41 is: 521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.63 : 983.72 = 347.41 : x
  2. Step 2: Convert to fraction form
    655.63/983.72 = 347.41/x
  3. Step 3: Cross multiply
    655.63x = 983.72 × 347.41
  4. Step 4: Simplify right side
    655.63x = 341,754.17
  5. Step 5: Solve for x
    x = 341,754.17/655.63
  6. Step 6: Final answer
    x = 521.26

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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.