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Finding the Fourth Proportional to 530.62, 791.46 and 514.42

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Solution

The fourth proportional to 530.62, 791.46 and 514.42 is: 767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.62 : 791.46 = 514.42 : x
  2. Step 2: Convert to fraction form
    530.62/791.46 = 514.42/x
  3. Step 3: Cross multiply
    530.62x = 791.46 × 514.42
  4. Step 4: Simplify right side
    530.62x = 407,142.85
  5. Step 5: Solve for x
    x = 407,142.85/530.62
  6. Step 6: Final answer
    x = 767.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.