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Finding the Fourth Proportional to 1,719.94, 2,580.81 and 940.50

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Solution

The fourth proportional to 1,719.94, 2,580.81 and 940.50 is: 1,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.94 : 2,580.81 = 940.50 : x
  2. Step 2: Convert to fraction form
    1,719.94/2,580.81 = 940.50/x
  3. Step 3: Cross multiply
    1,719.94x = 2,580.81 × 940.50
  4. Step 4: Simplify right side
    1,719.94x = 2,427,251.81
  5. Step 5: Solve for x
    x = 2,427,251.81/1,719.94
  6. Step 6: Final answer
    x = 1,411.24

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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.