Home / 1,022.30-1,533.71-535.22

Finding the Fourth Proportional to 1,022.30, 1,533.71 and 535.22

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Solution

The fourth proportional to 1,022.30, 1,533.71 and 535.22 is: 802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.30 : 1,533.71 = 535.22 : x
  2. Step 2: Convert to fraction form
    1,022.30/1,533.71 = 535.22/x
  3. Step 3: Cross multiply
    1,022.30x = 1,533.71 × 535.22
  4. Step 4: Simplify right side
    1,022.30x = 820,865.94
  5. Step 5: Solve for x
    x = 820,865.94/1,022.30
  6. Step 6: Final answer
    x = 802.96

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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.