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Finding the Fourth Proportional to 655.77, 983.05 and 519.69

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Solution

The fourth proportional to 655.77, 983.05 and 519.69 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.77 : 983.05 = 519.69 : x
  2. Step 2: Convert to fraction form
    655.77/983.05 = 519.69/x
  3. Step 3: Cross multiply
    655.77x = 983.05 × 519.69
  4. Step 4: Simplify right side
    655.77x = 510,878.66
  5. Step 5: Solve for x
    x = 510,878.66/655.77
  6. Step 6: Final answer
    x = 779.05

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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.