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Finding the Fourth Proportional to 845, 1,166.13 and 472.00

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Solution

The fourth proportional to 845, 1,166.13 and 472.00 is: 651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    845 : 1,166.13 = 472.00 : x
  2. Step 2: Convert to fraction form
    845/1,166.13 = 472.00/x
  3. Step 3: Cross multiply
    845x = 1,166.13 × 472.00
  4. Step 4: Simplify right side
    845x = 550,405.17
  5. Step 5: Solve for x
    x = 550,405.17/845
  6. Step 6: Final answer
    x = 651.37

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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.