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Finding the Fourth Proportional to 1,576.97, 2,363.83 and 653.06

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Solution

The fourth proportional to 1,576.97, 2,363.83 and 653.06 is: 978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.97 : 2,363.83 = 653.06 : x
  2. Step 2: Convert to fraction form
    1,576.97/2,363.83 = 653.06/x
  3. Step 3: Cross multiply
    1,576.97x = 2,363.83 × 653.06
  4. Step 4: Simplify right side
    1,576.97x = 1,543,730.77
  5. Step 5: Solve for x
    x = 1,543,730.77/1,576.97
  6. Step 6: Final answer
    x = 978.92

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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.