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Finding the Fourth Proportional to 530.02, 791.90 and 511.86

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Solution

The fourth proportional to 530.02, 791.90 and 511.86 is: 764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 791.90 = 511.86 : x
  2. Step 2: Convert to fraction form
    530.02/791.90 = 511.86/x
  3. Step 3: Cross multiply
    530.02x = 791.90 × 511.86
  4. Step 4: Simplify right side
    530.02x = 405,335.42
  5. Step 5: Solve for x
    x = 405,335.42/530.02
  6. Step 6: Final answer
    x = 764.75

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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.