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Finding the Fourth Proportional to 1,015.17, 1,522.71 and 284.73

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Solution

The fourth proportional to 1,015.17, 1,522.71 and 284.73 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.17 : 1,522.71 = 284.73 : x
  2. Step 2: Convert to fraction form
    1,015.17/1,522.71 = 284.73/x
  3. Step 3: Cross multiply
    1,015.17x = 1,522.71 × 284.73
  4. Step 4: Simplify right side
    1,015.17x = 433,561.22
  5. Step 5: Solve for x
    x = 433,561.22/1,015.17
  6. Step 6: Final answer
    x = 427.08

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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.