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Finding the Fourth Proportional to 1,053.43, 1,453.74 and 581.30

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Solution

The fourth proportional to 1,053.43, 1,453.74 and 581.30 is: 802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.43 : 1,453.74 = 581.30 : x
  2. Step 2: Convert to fraction form
    1,053.43/1,453.74 = 581.30/x
  3. Step 3: Cross multiply
    1,053.43x = 1,453.74 × 581.30
  4. Step 4: Simplify right side
    1,053.43x = 845,059.06
  5. Step 5: Solve for x
    x = 845,059.06/1,053.43
  6. Step 6: Final answer
    x = 802.20

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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.