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Finding the Fourth Proportional to 641.06, 880.82 and 509.84

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Solution

The fourth proportional to 641.06, 880.82 and 509.84 is: 700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.06 : 880.82 = 509.84 : x
  2. Step 2: Convert to fraction form
    641.06/880.82 = 509.84/x
  3. Step 3: Cross multiply
    641.06x = 880.82 × 509.84
  4. Step 4: Simplify right side
    641.06x = 449,072.86
  5. Step 5: Solve for x
    x = 449,072.86/641.06
  6. Step 6: Final answer
    x = 700.52

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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.