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Finding the Fourth Proportional to 511.10, 701.40 and 478.70

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Solution

The fourth proportional to 511.10, 701.40 and 478.70 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 701.40 = 478.70 : x
  2. Step 2: Convert to fraction form
    511.10/701.40 = 478.70/x
  3. Step 3: Cross multiply
    511.10x = 701.40 × 478.70
  4. Step 4: Simplify right side
    511.10x = 335,757.79
  5. Step 5: Solve for x
    x = 335,757.79/511.10
  6. Step 6: Final answer
    x = 656.93

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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.