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Finding the Fourth Proportional to 613.31, 844.95 and 507.80

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Solution

The fourth proportional to 613.31, 844.95 and 507.80 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.31 : 844.95 = 507.80 : x
  2. Step 2: Convert to fraction form
    613.31/844.95 = 507.80/x
  3. Step 3: Cross multiply
    613.31x = 844.95 × 507.80
  4. Step 4: Simplify right side
    613.31x = 429,065.61
  5. Step 5: Solve for x
    x = 429,065.61/613.31
  6. Step 6: Final answer
    x = 699.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.