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Finding the Fourth Proportional to 847, 1,168.77 and 474.01

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Solution

The fourth proportional to 847, 1,168.77 and 474.01 is: 654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    847 : 1,168.77 = 474.01 : x
  2. Step 2: Convert to fraction form
    847/1,168.77 = 474.01/x
  3. Step 3: Cross multiply
    847x = 1,168.77 × 474.01
  4. Step 4: Simplify right side
    847x = 554,008.67
  5. Step 5: Solve for x
    x = 554,008.67/847
  6. Step 6: Final answer
    x = 654.08

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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.