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Finding the Fourth Proportional to 655.86, 983.80 and 617.82

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Solution

The fourth proportional to 655.86, 983.80 and 617.82 is: 926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.86 : 983.80 = 617.82 : x
  2. Step 2: Convert to fraction form
    655.86/983.80 = 617.82/x
  3. Step 3: Cross multiply
    655.86x = 983.80 × 617.82
  4. Step 4: Simplify right side
    655.86x = 607,811.32
  5. Step 5: Solve for x
    x = 607,811.32/655.86
  6. Step 6: Final answer
    x = 926.74

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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.