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Finding the Fourth Proportional to 675.48, 930.78 and 649.92

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Solution

The fourth proportional to 675.48, 930.78 and 649.92 is: 895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 930.78 = 649.92 : x
  2. Step 2: Convert to fraction form
    675.48/930.78 = 649.92/x
  3. Step 3: Cross multiply
    675.48x = 930.78 × 649.92
  4. Step 4: Simplify right side
    675.48x = 604,932.54
  5. Step 5: Solve for x
    x = 604,932.54/675.48
  6. Step 6: Final answer
    x = 895.56

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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.