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Finding the Fourth Proportional to 847.50, 1,269.81 and 360.30

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Solution

The fourth proportional to 847.50, 1,269.81 and 360.30 is: 539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.50 : 1,269.81 = 360.30 : x
  2. Step 2: Convert to fraction form
    847.50/1,269.81 = 360.30/x
  3. Step 3: Cross multiply
    847.50x = 1,269.81 × 360.30
  4. Step 4: Simplify right side
    847.50x = 457,512.54
  5. Step 5: Solve for x
    x = 457,512.54/847.50
  6. Step 6: Final answer
    x = 539.84

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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.