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Finding the Fourth Proportional to 664.64, 916.41 and 540.10

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Solution

The fourth proportional to 664.64, 916.41 and 540.10 is: 744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 916.41 = 540.10 : x
  2. Step 2: Convert to fraction form
    664.64/916.41 = 540.10/x
  3. Step 3: Cross multiply
    664.64x = 916.41 × 540.10
  4. Step 4: Simplify right side
    664.64x = 494,953.04
  5. Step 5: Solve for x
    x = 494,953.04/664.64
  6. Step 6: Final answer
    x = 744.69

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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.