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Finding the Fourth Proportional to 628.82, 934.77 and 610.38

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Solution

The fourth proportional to 628.82, 934.77 and 610.38 is: 907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 934.77 = 610.38 : x
  2. Step 2: Convert to fraction form
    628.82/934.77 = 610.38/x
  3. Step 3: Cross multiply
    628.82x = 934.77 × 610.38
  4. Step 4: Simplify right side
    628.82x = 570,564.91
  5. Step 5: Solve for x
    x = 570,564.91/628.82
  6. Step 6: Final answer
    x = 907.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.