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Finding the Fourth Proportional to 655.98, 983.57 and 381.93

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Solution

The fourth proportional to 655.98, 983.57 and 381.93 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 983.57 = 381.93 : x
  2. Step 2: Convert to fraction form
    655.98/983.57 = 381.93/x
  3. Step 3: Cross multiply
    655.98x = 983.57 × 381.93
  4. Step 4: Simplify right side
    655.98x = 375,652.98
  5. Step 5: Solve for x
    x = 375,652.98/655.98
  6. Step 6: Final answer
    x = 572.66

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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.