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Finding the Fourth Proportional to 1,053.42, 1,581.10 and 533.78

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Solution

The fourth proportional to 1,053.42, 1,581.10 and 533.78 is: 801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,581.10 = 533.78 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,581.10 = 533.78/x
  3. Step 3: Cross multiply
    1,053.42x = 1,581.10 × 533.78
  4. Step 4: Simplify right side
    1,053.42x = 843,959.56
  5. Step 5: Solve for x
    x = 843,959.56/1,053.42
  6. Step 6: Final answer
    x = 801.16

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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.