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Finding the Fourth Proportional to 966.11, 1,333.08 and 567.78

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Solution

The fourth proportional to 966.11, 1,333.08 and 567.78 is: 783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.11 : 1,333.08 = 567.78 : x
  2. Step 2: Convert to fraction form
    966.11/1,333.08 = 567.78/x
  3. Step 3: Cross multiply
    966.11x = 1,333.08 × 567.78
  4. Step 4: Simplify right side
    966.11x = 756,904.01
  5. Step 5: Solve for x
    x = 756,904.01/966.11
  6. Step 6: Final answer
    x = 783.45

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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.