Home / 1,015.10-1,522.57-284.70

Finding the Fourth Proportional to 1,015.10, 1,522.57 and 284.70

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Solution

The fourth proportional to 1,015.10, 1,522.57 and 284.70 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.10 : 1,522.57 = 284.70 : x
  2. Step 2: Convert to fraction form
    1,015.10/1,522.57 = 284.70/x
  3. Step 3: Cross multiply
    1,015.10x = 1,522.57 × 284.70
  4. Step 4: Simplify right side
    1,015.10x = 433,475.68
  5. Step 5: Solve for x
    x = 433,475.68/1,015.10
  6. Step 6: Final answer
    x = 427.03

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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.