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Finding the Fourth Proportional to 655.31, 904.56 and 459.40

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Solution

The fourth proportional to 655.31, 904.56 and 459.40 is: 634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.31 : 904.56 = 459.40 : x
  2. Step 2: Convert to fraction form
    655.31/904.56 = 459.40/x
  3. Step 3: Cross multiply
    655.31x = 904.56 × 459.40
  4. Step 4: Simplify right side
    655.31x = 415,552.60
  5. Step 5: Solve for x
    x = 415,552.60/655.31
  6. Step 6: Final answer
    x = 634.13

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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.