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Finding the Fourth Proportional to 961.69, 1,327.13 and 612.58

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Solution

The fourth proportional to 961.69, 1,327.13 and 612.58 is: 845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.69 : 1,327.13 = 612.58 : x
  2. Step 2: Convert to fraction form
    961.69/1,327.13 = 612.58/x
  3. Step 3: Cross multiply
    961.69x = 1,327.13 × 612.58
  4. Step 4: Simplify right side
    961.69x = 812,969.21
  5. Step 5: Solve for x
    x = 812,969.21/961.69
  6. Step 6: Final answer
    x = 845.36

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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.