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Finding the Fourth Proportional to 625.07, 862.75 and 595.78

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Solution

The fourth proportional to 625.07, 862.75 and 595.78 is: 822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.07 : 862.75 = 595.78 : x
  2. Step 2: Convert to fraction form
    625.07/862.75 = 595.78/x
  3. Step 3: Cross multiply
    625.07x = 862.75 × 595.78
  4. Step 4: Simplify right side
    625.07x = 514,007.78
  5. Step 5: Solve for x
    x = 514,007.78/625.07
  6. Step 6: Final answer
    x = 822.32

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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.