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Finding the Fourth Proportional to 1,053.10, 1,453.29 and 581.01

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Solution

The fourth proportional to 1,053.10, 1,453.29 and 581.01 is: 801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.10 : 1,453.29 = 581.01 : x
  2. Step 2: Convert to fraction form
    1,053.10/1,453.29 = 581.01/x
  3. Step 3: Cross multiply
    1,053.10x = 1,453.29 × 581.01
  4. Step 4: Simplify right side
    1,053.10x = 844,376.57
  5. Step 5: Solve for x
    x = 844,376.57/1,053.10
  6. Step 6: Final answer
    x = 801.80

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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.