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Finding the Fourth Proportional to 1,715.22, 2,572.83 and 482.64

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Solution

The fourth proportional to 1,715.22, 2,572.83 and 482.64 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.22 : 2,572.83 = 482.64 : x
  2. Step 2: Convert to fraction form
    1,715.22/2,572.83 = 482.64/x
  3. Step 3: Cross multiply
    1,715.22x = 2,572.83 × 482.64
  4. Step 4: Simplify right side
    1,715.22x = 1,241,750.67
  5. Step 5: Solve for x
    x = 1,241,750.67/1,715.22
  6. Step 6: Final answer
    x = 723.96

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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.