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Finding the Fourth Proportional to 1,716, 2,572.24 and 742.72

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Solution

The fourth proportional to 1,716, 2,572.24 and 742.72 is: 1,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716 : 2,572.24 = 742.72 : x
  2. Step 2: Convert to fraction form
    1,716/2,572.24 = 742.72/x
  3. Step 3: Cross multiply
    1,716x = 2,572.24 × 742.72
  4. Step 4: Simplify right side
    1,716x = 1,910,454.09
  5. Step 5: Solve for x
    x = 1,910,454.09/1,716
  6. Step 6: Final answer
    x = 1,113.32

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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.