Home / 1,042.24-1,563.97-384.57

Finding the Fourth Proportional to 1,042.24, 1,563.97 and 384.57

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Solution

The fourth proportional to 1,042.24, 1,563.97 and 384.57 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.24 : 1,563.97 = 384.57 : x
  2. Step 2: Convert to fraction form
    1,042.24/1,563.97 = 384.57/x
  3. Step 3: Cross multiply
    1,042.24x = 1,563.97 × 384.57
  4. Step 4: Simplify right side
    1,042.24x = 601,454.98
  5. Step 5: Solve for x
    x = 601,454.98/1,042.24
  6. Step 6: Final answer
    x = 577.08

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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.