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Finding the Fourth Proportional to 512.02, 767.85 and 307.90

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Solution

The fourth proportional to 512.02, 767.85 and 307.90 is: 461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 767.85 = 307.90 : x
  2. Step 2: Convert to fraction form
    512.02/767.85 = 307.90/x
  3. Step 3: Cross multiply
    512.02x = 767.85 × 307.90
  4. Step 4: Simplify right side
    512.02x = 236,421.02
  5. Step 5: Solve for x
    x = 236,421.02/512.02
  6. Step 6: Final answer
    x = 461.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.