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Finding the Fourth Proportional to 847.05, 1,269.72 and 573.17

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Solution

The fourth proportional to 847.05, 1,269.72 and 573.17 is: 859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.05 : 1,269.72 = 573.17 : x
  2. Step 2: Convert to fraction form
    847.05/1,269.72 = 573.17/x
  3. Step 3: Cross multiply
    847.05x = 1,269.72 × 573.17
  4. Step 4: Simplify right side
    847.05x = 727,762.55
  5. Step 5: Solve for x
    x = 727,762.55/847.05
  6. Step 6: Final answer
    x = 859.17

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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.