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Finding the Fourth Proportional to 1,522.79, 2,284.42 and 645.29

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Solution

The fourth proportional to 1,522.79, 2,284.42 and 645.29 is: 968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.79 : 2,284.42 = 645.29 : x
  2. Step 2: Convert to fraction form
    1,522.79/2,284.42 = 645.29/x
  3. Step 3: Cross multiply
    1,522.79x = 2,284.42 × 645.29
  4. Step 4: Simplify right side
    1,522.79x = 1,474,108.91
  5. Step 5: Solve for x
    x = 1,474,108.91/1,522.79
  6. Step 6: Final answer
    x = 968.03

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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.