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Finding the Fourth Proportional to 1,015.19, 1,522.78 and 284.78

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Solution

The fourth proportional to 1,015.19, 1,522.78 and 284.78 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.19 : 1,522.78 = 284.78 : x
  2. Step 2: Convert to fraction form
    1,015.19/1,522.78 = 284.78/x
  3. Step 3: Cross multiply
    1,015.19x = 1,522.78 × 284.78
  4. Step 4: Simplify right side
    1,015.19x = 433,655.86
  5. Step 5: Solve for x
    x = 433,655.86/1,015.19
  6. Step 6: Final answer
    x = 427.17

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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.