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Finding the Fourth Proportional to 691.96, 955.44 and 459.28

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Solution

The fourth proportional to 691.96, 955.44 and 459.28 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 955.44 = 459.28 : x
  2. Step 2: Convert to fraction form
    691.96/955.44 = 459.28/x
  3. Step 3: Cross multiply
    691.96x = 955.44 × 459.28
  4. Step 4: Simplify right side
    691.96x = 438,814.48
  5. Step 5: Solve for x
    x = 438,814.48/691.96
  6. Step 6: Final answer
    x = 634.16

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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.