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Finding the Fourth Proportional to 847.10, 1,269.84 and 414.02

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Solution

The fourth proportional to 847.10, 1,269.84 and 414.02 is: 620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,269.84 = 414.02 : x
  2. Step 2: Convert to fraction form
    847.10/1,269.84 = 414.02/x
  3. Step 3: Cross multiply
    847.10x = 1,269.84 × 414.02
  4. Step 4: Simplify right side
    847.10x = 525,739.16
  5. Step 5: Solve for x
    x = 525,739.16/847.10
  6. Step 6: Final answer
    x = 620.63

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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.