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Finding the Fourth Proportional to 665.80, 914.95 and 635.31

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Solution

The fourth proportional to 665.80, 914.95 and 635.31 is: 873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.80 : 914.95 = 635.31 : x
  2. Step 2: Convert to fraction form
    665.80/914.95 = 635.31/x
  3. Step 3: Cross multiply
    665.80x = 914.95 × 635.31
  4. Step 4: Simplify right side
    665.80x = 581,276.88
  5. Step 5: Solve for x
    x = 581,276.88/665.80
  6. Step 6: Final answer
    x = 873.05

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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.