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Finding the Fourth Proportional to 961.08, 1,326.30 and 518.99

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Solution

The fourth proportional to 961.08, 1,326.30 and 518.99 is: 716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.08 : 1,326.30 = 518.99 : x
  2. Step 2: Convert to fraction form
    961.08/1,326.30 = 518.99/x
  3. Step 3: Cross multiply
    961.08x = 1,326.30 × 518.99
  4. Step 4: Simplify right side
    961.08x = 688,328.14
  5. Step 5: Solve for x
    x = 688,328.14/961.08
  6. Step 6: Final answer
    x = 716.20

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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.