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Finding the Fourth Proportional to 511.35, 701.74 and 478.95

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Solution

The fourth proportional to 511.35, 701.74 and 478.95 is: 657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.35 : 701.74 = 478.95 : x
  2. Step 2: Convert to fraction form
    511.35/701.74 = 478.95/x
  3. Step 3: Cross multiply
    511.35x = 701.74 × 478.95
  4. Step 4: Simplify right side
    511.35x = 336,097.18
  5. Step 5: Solve for x
    x = 336,097.18/511.35
  6. Step 6: Final answer
    x = 657.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.