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Finding the Fourth Proportional to 1,594.24, 2,200.07 and 930.98

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Solution

The fourth proportional to 1,594.24, 2,200.07 and 930.98 is: 1,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.24 : 2,200.07 = 930.98 : x
  2. Step 2: Convert to fraction form
    1,594.24/2,200.07 = 930.98/x
  3. Step 3: Cross multiply
    1,594.24x = 2,200.07 × 930.98
  4. Step 4: Simplify right side
    1,594.24x = 2,048,229.00
  5. Step 5: Solve for x
    x = 2,048,229.00/1,594.24
  6. Step 6: Final answer
    x = 1,284.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.