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Finding the Fourth Proportional to 521.69, 782.40 and 151.49

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Solution

The fourth proportional to 521.69, 782.40 and 151.49 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 782.40 = 151.49 : x
  2. Step 2: Convert to fraction form
    521.69/782.40 = 151.49/x
  3. Step 3: Cross multiply
    521.69x = 782.40 × 151.49
  4. Step 4: Simplify right side
    521.69x = 118,521.86
  5. Step 5: Solve for x
    x = 118,521.86/521.69
  6. Step 6: Final answer
    x = 227.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.