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Finding the Fourth Proportional to 677.33, 933.61 and 490.55

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Solution

The fourth proportional to 677.33, 933.61 and 490.55 is: 676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.33 : 933.61 = 490.55 : x
  2. Step 2: Convert to fraction form
    677.33/933.61 = 490.55/x
  3. Step 3: Cross multiply
    677.33x = 933.61 × 490.55
  4. Step 4: Simplify right side
    677.33x = 457,982.39
  5. Step 5: Solve for x
    x = 457,982.39/677.33
  6. Step 6: Final answer
    x = 676.16

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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.