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Finding the Fourth Proportional to 959.45, 1,322.87 and 566.33

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Solution

The fourth proportional to 959.45, 1,322.87 and 566.33 is: 780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.45 : 1,322.87 = 566.33 : x
  2. Step 2: Convert to fraction form
    959.45/1,322.87 = 566.33/x
  3. Step 3: Cross multiply
    959.45x = 1,322.87 × 566.33
  4. Step 4: Simplify right side
    959.45x = 749,171.52
  5. Step 5: Solve for x
    x = 749,171.52/959.45
  6. Step 6: Final answer
    x = 780.84

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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.