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Finding the Fourth Proportional to 961.45, 1,326.30 and 567.79

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Solution

The fourth proportional to 961.45, 1,326.30 and 567.79 is: 783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.45 : 1,326.30 = 567.79 : x
  2. Step 2: Convert to fraction form
    961.45/1,326.30 = 567.79/x
  3. Step 3: Cross multiply
    961.45x = 1,326.30 × 567.79
  4. Step 4: Simplify right side
    961.45x = 753,053.25
  5. Step 5: Solve for x
    x = 753,053.25/961.45
  6. Step 6: Final answer
    x = 783.25

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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.