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Finding the Fourth Proportional to 966.65, 1,333.70 and 573.53

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Solution

The fourth proportional to 966.65, 1,333.70 and 573.53 is: 791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.65 : 1,333.70 = 573.53 : x
  2. Step 2: Convert to fraction form
    966.65/1,333.70 = 573.53/x
  3. Step 3: Cross multiply
    966.65x = 1,333.70 × 573.53
  4. Step 4: Simplify right side
    966.65x = 764,907.42
  5. Step 5: Solve for x
    x = 764,907.42/966.65
  6. Step 6: Final answer
    x = 791.30

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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.