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Finding the Fourth Proportional to 2,688.77, 4,033.20 and 740.94

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Solution

The fourth proportional to 2,688.77, 4,033.20 and 740.94 is: 1,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.77 : 4,033.20 = 740.94 : x
  2. Step 2: Convert to fraction form
    2,688.77/4,033.20 = 740.94/x
  3. Step 3: Cross multiply
    2,688.77x = 4,033.20 × 740.94
  4. Step 4: Simplify right side
    2,688.77x = 2,988,359.21
  5. Step 5: Solve for x
    x = 2,988,359.21/2,688.77
  6. Step 6: Final answer
    x = 1,111.42

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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.