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Finding the Fourth Proportional to 526.76, 789.76 and 279.80

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Solution

The fourth proportional to 526.76, 789.76 and 279.80 is: 419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.76 : 789.76 = 279.80 : x
  2. Step 2: Convert to fraction form
    526.76/789.76 = 279.80/x
  3. Step 3: Cross multiply
    526.76x = 789.76 × 279.80
  4. Step 4: Simplify right side
    526.76x = 220,977.17
  5. Step 5: Solve for x
    x = 220,977.17/526.76
  6. Step 6: Final answer
    x = 419.50

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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.