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Finding the Fourth Proportional to 1,201.86, 1,803.80 and 471.95

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Solution

The fourth proportional to 1,201.86, 1,803.80 and 471.95 is: 708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.86 : 1,803.80 = 471.95 : x
  2. Step 2: Convert to fraction form
    1,201.86/1,803.80 = 471.95/x
  3. Step 3: Cross multiply
    1,201.86x = 1,803.80 × 471.95
  4. Step 4: Simplify right side
    1,201.86x = 851,302.34
  5. Step 5: Solve for x
    x = 851,302.34/1,201.86
  6. Step 6: Final answer
    x = 708.32

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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.