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Finding the Fourth Proportional to 847.11, 1,168.34 and 536.07

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Solution

The fourth proportional to 847.11, 1,168.34 and 536.07 is: 739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.11 : 1,168.34 = 536.07 : x
  2. Step 2: Convert to fraction form
    847.11/1,168.34 = 536.07/x
  3. Step 3: Cross multiply
    847.11x = 1,168.34 × 536.07
  4. Step 4: Simplify right side
    847.11x = 626,309.34
  5. Step 5: Solve for x
    x = 626,309.34/847.11
  6. Step 6: Final answer
    x = 739.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.