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Finding the Fourth Proportional to 659.88, 993.33 and 506.66

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Solution

The fourth proportional to 659.88, 993.33 and 506.66 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 993.33 = 506.66 : x
  2. Step 2: Convert to fraction form
    659.88/993.33 = 506.66/x
  3. Step 3: Cross multiply
    659.88x = 993.33 × 506.66
  4. Step 4: Simplify right side
    659.88x = 503,275.61
  5. Step 5: Solve for x
    x = 503,275.61/659.88
  6. Step 6: Final answer
    x = 762.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.