Home / 1,015.14-1,522.50-284.72

Finding the Fourth Proportional to 1,015.14, 1,522.50 and 284.72

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Solution

The fourth proportional to 1,015.14, 1,522.50 and 284.72 is: 427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.14 : 1,522.50 = 284.72 : x
  2. Step 2: Convert to fraction form
    1,015.14/1,522.50 = 284.72/x
  3. Step 3: Cross multiply
    1,015.14x = 1,522.50 × 284.72
  4. Step 4: Simplify right side
    1,015.14x = 433,482.39
  5. Step 5: Solve for x
    x = 433,482.39/1,015.14
  6. Step 6: Final answer
    x = 427.02

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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.