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Finding the Fourth Proportional to 830.09, 1,246.53 and 737.75

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Solution

The fourth proportional to 830.09, 1,246.53 and 737.75 is: 1,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.09 : 1,246.53 = 737.75 : x
  2. Step 2: Convert to fraction form
    830.09/1,246.53 = 737.75/x
  3. Step 3: Cross multiply
    830.09x = 1,246.53 × 737.75
  4. Step 4: Simplify right side
    830.09x = 919,627.51
  5. Step 5: Solve for x
    x = 919,627.51/830.09
  6. Step 6: Final answer
    x = 1,107.86

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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.