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Finding the Fourth Proportional to 1,600.48, 2,208.63 and 901.86

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Solution

The fourth proportional to 1,600.48, 2,208.63 and 901.86 is: 1,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.48 : 2,208.63 = 901.86 : x
  2. Step 2: Convert to fraction form
    1,600.48/2,208.63 = 901.86/x
  3. Step 3: Cross multiply
    1,600.48x = 2,208.63 × 901.86
  4. Step 4: Simplify right side
    1,600.48x = 1,991,875.05
  5. Step 5: Solve for x
    x = 1,991,875.05/1,600.48
  6. Step 6: Final answer
    x = 1,244.55

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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.