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Finding the Fourth Proportional to 664.64, 916.44 and 581.48

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Solution

The fourth proportional to 664.64, 916.44 and 581.48 is: 801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 916.44 = 581.48 : x
  2. Step 2: Convert to fraction form
    664.64/916.44 = 581.48/x
  3. Step 3: Cross multiply
    664.64x = 916.44 × 581.48
  4. Step 4: Simplify right side
    664.64x = 532,891.53
  5. Step 5: Solve for x
    x = 532,891.53/664.64
  6. Step 6: Final answer
    x = 801.77

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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.