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Finding the Fourth Proportional to 621.52, 857.31 and 515.99

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Solution

The fourth proportional to 621.52, 857.31 and 515.99 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.52 : 857.31 = 515.99 : x
  2. Step 2: Convert to fraction form
    621.52/857.31 = 515.99/x
  3. Step 3: Cross multiply
    621.52x = 857.31 × 515.99
  4. Step 4: Simplify right side
    621.52x = 442,363.39
  5. Step 5: Solve for x
    x = 442,363.39/621.52
  6. Step 6: Final answer
    x = 711.74

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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.