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Finding the Fourth Proportional to 511.78, 767.04 and 375.40

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Solution

The fourth proportional to 511.78, 767.04 and 375.40 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 767.04 = 375.40 : x
  2. Step 2: Convert to fraction form
    511.78/767.04 = 375.40/x
  3. Step 3: Cross multiply
    511.78x = 767.04 × 375.40
  4. Step 4: Simplify right side
    511.78x = 287,946.82
  5. Step 5: Solve for x
    x = 287,946.82/511.78
  6. Step 6: Final answer
    x = 562.64

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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.