Home / 1,522.40-2,283.50-496.40

Finding the Fourth Proportional to 1,522.40, 2,283.50 and 496.40

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Solution

The fourth proportional to 1,522.40, 2,283.50 and 496.40 is: 744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.40 : 2,283.50 = 496.40 : x
  2. Step 2: Convert to fraction form
    1,522.40/2,283.50 = 496.40/x
  3. Step 3: Cross multiply
    1,522.40x = 2,283.50 × 496.40
  4. Step 4: Simplify right side
    1,522.40x = 1,133,529.40
  5. Step 5: Solve for x
    x = 1,133,529.40/1,522.40
  6. Step 6: Final answer
    x = 744.57

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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.