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Finding the Fourth Proportional to 625.30, 857.49 and 593.71

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Solution

The fourth proportional to 625.30, 857.49 and 593.71 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.30 : 857.49 = 593.71 : x
  2. Step 2: Convert to fraction form
    625.30/857.49 = 593.71/x
  3. Step 3: Cross multiply
    625.30x = 857.49 × 593.71
  4. Step 4: Simplify right side
    625.30x = 509,100.39
  5. Step 5: Solve for x
    x = 509,100.39/625.30
  6. Step 6: Final answer
    x = 814.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.