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Finding the Fourth Proportional to 1,053, 1,453.21 and 580.94

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Solution

The fourth proportional to 1,053, 1,453.21 and 580.94 is: 801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053 : 1,453.21 = 580.94 : x
  2. Step 2: Convert to fraction form
    1,053/1,453.21 = 580.94/x
  3. Step 3: Cross multiply
    1,053x = 1,453.21 × 580.94
  4. Step 4: Simplify right side
    1,053x = 844,224.55
  5. Step 5: Solve for x
    x = 844,224.55/1,053
  6. Step 6: Final answer
    x = 801.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.