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Finding the Fourth Proportional to 649.82, 896.06 and 555.66

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Solution

The fourth proportional to 649.82, 896.06 and 555.66 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 896.06 = 555.66 : x
  2. Step 2: Convert to fraction form
    649.82/896.06 = 555.66/x
  3. Step 3: Cross multiply
    649.82x = 896.06 × 555.66
  4. Step 4: Simplify right side
    649.82x = 497,906.09
  5. Step 5: Solve for x
    x = 497,906.09/649.82
  6. Step 6: Final answer
    x = 766.22

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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.