Home / 1,522.40-2,283.76-496.16

Finding the Fourth Proportional to 1,522.40, 2,283.76 and 496.16

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Solution

The fourth proportional to 1,522.40, 2,283.76 and 496.16 is: 744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.40 : 2,283.76 = 496.16 : x
  2. Step 2: Convert to fraction form
    1,522.40/2,283.76 = 496.16/x
  3. Step 3: Cross multiply
    1,522.40x = 2,283.76 × 496.16
  4. Step 4: Simplify right side
    1,522.40x = 1,133,110.36
  5. Step 5: Solve for x
    x = 1,133,110.36/1,522.40
  6. Step 6: Final answer
    x = 744.29

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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.