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Finding the Fourth Proportional to 1,722.55, 2,376.16 and 1,059.28

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Solution

The fourth proportional to 1,722.55, 2,376.16 and 1,059.28 is: 1,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.55 : 2,376.16 = 1,059.28 : x
  2. Step 2: Convert to fraction form
    1,722.55/2,376.16 = 1,059.28/x
  3. Step 3: Cross multiply
    1,722.55x = 2,376.16 × 1,059.28
  4. Step 4: Simplify right side
    1,722.55x = 2,517,013.16
  5. Step 5: Solve for x
    x = 2,517,013.16/1,722.55
  6. Step 6: Final answer
    x = 1,461.21

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Why These Related Problems?

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