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Finding the Fourth Proportional to 901.00, 1,349.16 and 771.83

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Solution

The fourth proportional to 901.00, 1,349.16 and 771.83 is: 1,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.00 : 1,349.16 = 771.83 : x
  2. Step 2: Convert to fraction form
    901.00/1,349.16 = 771.83/x
  3. Step 3: Cross multiply
    901.00x = 1,349.16 × 771.83
  4. Step 4: Simplify right side
    901.00x = 1,041,317.58
  5. Step 5: Solve for x
    x = 1,041,317.58/901.00
  6. Step 6: Final answer
    x = 1,155.73

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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.