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Finding the Fourth Proportional to 511.68, 767.52 and 307.70

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Solution

The fourth proportional to 511.68, 767.52 and 307.70 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 767.52 = 307.70 : x
  2. Step 2: Convert to fraction form
    511.68/767.52 = 307.70/x
  3. Step 3: Cross multiply
    511.68x = 767.52 × 307.70
  4. Step 4: Simplify right side
    511.68x = 236,162.07
  5. Step 5: Solve for x
    x = 236,162.07/511.68
  6. Step 6: Final answer
    x = 461.54

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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.