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Finding the Fourth Proportional to 497.07, 683.78 and 477.09

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Solution

The fourth proportional to 497.07, 683.78 and 477.09 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 683.78 = 477.09 : x
  2. Step 2: Convert to fraction form
    497.07/683.78 = 477.09/x
  3. Step 3: Cross multiply
    497.07x = 683.78 × 477.09
  4. Step 4: Simplify right side
    497.07x = 326,222.21
  5. Step 5: Solve for x
    x = 326,222.21/497.07
  6. Step 6: Final answer
    x = 656.29

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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.