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Finding the Fourth Proportional to 767.30, 1,057.92 and 649.07

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Solution

The fourth proportional to 767.30, 1,057.92 and 649.07 is: 894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,057.92 = 649.07 : x
  2. Step 2: Convert to fraction form
    767.30/1,057.92 = 649.07/x
  3. Step 3: Cross multiply
    767.30x = 1,057.92 × 649.07
  4. Step 4: Simplify right side
    767.30x = 686,658.84
  5. Step 5: Solve for x
    x = 686,658.84/767.30
  6. Step 6: Final answer
    x = 894.91

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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.