Home / 1,042.90-1,563.61-522.53

Finding the Fourth Proportional to 1,042.90, 1,563.61 and 522.53

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Solution

The fourth proportional to 1,042.90, 1,563.61 and 522.53 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.90 : 1,563.61 = 522.53 : x
  2. Step 2: Convert to fraction form
    1,042.90/1,563.61 = 522.53/x
  3. Step 3: Cross multiply
    1,042.90x = 1,563.61 × 522.53
  4. Step 4: Simplify right side
    1,042.90x = 817,022.70
  5. Step 5: Solve for x
    x = 817,022.70/1,042.90
  6. Step 6: Final answer
    x = 783.42

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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.