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Finding the Fourth Proportional to 1,007.86, 1,511.82 and 521.86

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Solution

The fourth proportional to 1,007.86, 1,511.82 and 521.86 is: 782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.86 : 1,511.82 = 521.86 : x
  2. Step 2: Convert to fraction form
    1,007.86/1,511.82 = 521.86/x
  3. Step 3: Cross multiply
    1,007.86x = 1,511.82 × 521.86
  4. Step 4: Simplify right side
    1,007.86x = 788,958.39
  5. Step 5: Solve for x
    x = 788,958.39/1,007.86
  6. Step 6: Final answer
    x = 782.81

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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.