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Finding the Fourth Proportional to 1,216.71, 1,825.07 and 601.18

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Solution

The fourth proportional to 1,216.71, 1,825.07 and 601.18 is: 901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.71 : 1,825.07 = 601.18 : x
  2. Step 2: Convert to fraction form
    1,216.71/1,825.07 = 601.18/x
  3. Step 3: Cross multiply
    1,216.71x = 1,825.07 × 601.18
  4. Step 4: Simplify right side
    1,216.71x = 1,097,188.01
  5. Step 5: Solve for x
    x = 1,097,188.01/1,216.71
  6. Step 6: Final answer
    x = 901.77

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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.