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Finding the Fourth Proportional to 664.09, 914.59 and 649.74

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Solution

The fourth proportional to 664.09, 914.59 and 649.74 is: 894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 914.59 = 649.74 : x
  2. Step 2: Convert to fraction form
    664.09/914.59 = 649.74/x
  3. Step 3: Cross multiply
    664.09x = 914.59 × 649.74
  4. Step 4: Simplify right side
    664.09x = 594,242.46
  5. Step 5: Solve for x
    x = 594,242.46/664.09
  6. Step 6: Final answer
    x = 894.82

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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.