Home / 1,522.19-2,283.60-535.12

Finding the Fourth Proportional to 1,522.19, 2,283.60 and 535.12

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Solution

The fourth proportional to 1,522.19, 2,283.60 and 535.12 is: 802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.19 : 2,283.60 = 535.12 : x
  2. Step 2: Convert to fraction form
    1,522.19/2,283.60 = 535.12/x
  3. Step 3: Cross multiply
    1,522.19x = 2,283.60 × 535.12
  4. Step 4: Simplify right side
    1,522.19x = 1,222,000.03
  5. Step 5: Solve for x
    x = 1,222,000.03/1,522.19
  6. Step 6: Final answer
    x = 802.79

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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.