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Finding the Fourth Proportional to 477.61, 659.42 and 366.89

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Solution

The fourth proportional to 477.61, 659.42 and 366.89 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 659.42 = 366.89 : x
  2. Step 2: Convert to fraction form
    477.61/659.42 = 366.89/x
  3. Step 3: Cross multiply
    477.61x = 659.42 × 366.89
  4. Step 4: Simplify right side
    477.61x = 241,934.60
  5. Step 5: Solve for x
    x = 241,934.60/477.61
  6. Step 6: Final answer
    x = 506.55

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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.