Home / 1,522.24-2,284.20-645.24

Finding the Fourth Proportional to 1,522.24, 2,284.20 and 645.24

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Solution

The fourth proportional to 1,522.24, 2,284.20 and 645.24 is: 968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.24 : 2,284.20 = 645.24 : x
  2. Step 2: Convert to fraction form
    1,522.24/2,284.20 = 645.24/x
  3. Step 3: Cross multiply
    1,522.24x = 2,284.20 × 645.24
  4. Step 4: Simplify right side
    1,522.24x = 1,473,859.35
  5. Step 5: Solve for x
    x = 1,473,859.35/1,522.24
  6. Step 6: Final answer
    x = 968.22

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1.5x scale

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.