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Finding the Fourth Proportional to 959.81, 1,324.80 and 567.05

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Solution

The fourth proportional to 959.81, 1,324.80 and 567.05 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.81 : 1,324.80 = 567.05 : x
  2. Step 2: Convert to fraction form
    959.81/1,324.80 = 567.05/x
  3. Step 3: Cross multiply
    959.81x = 1,324.80 × 567.05
  4. Step 4: Simplify right side
    959.81x = 751,221.22
  5. Step 5: Solve for x
    x = 751,221.22/959.81
  6. Step 6: Final answer
    x = 782.68

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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.