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Finding the Fourth Proportional to 829.58, 1,244.57 and 342.77

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Solution

The fourth proportional to 829.58, 1,244.57 and 342.77 is: 514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.58 : 1,244.57 = 342.77 : x
  2. Step 2: Convert to fraction form
    829.58/1,244.57 = 342.77/x
  3. Step 3: Cross multiply
    829.58x = 1,244.57 × 342.77
  4. Step 4: Simplify right side
    829.58x = 426,593.32
  5. Step 5: Solve for x
    x = 426,593.32/829.58
  6. Step 6: Final answer
    x = 514.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.