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Finding the Fourth Proportional to 1,053.98, 1,581.03 and 323.49

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Solution

The fourth proportional to 1,053.98, 1,581.03 and 323.49 is: 485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.98 : 1,581.03 = 323.49 : x
  2. Step 2: Convert to fraction form
    1,053.98/1,581.03 = 323.49/x
  3. Step 3: Cross multiply
    1,053.98x = 1,581.03 × 323.49
  4. Step 4: Simplify right side
    1,053.98x = 511,447.39
  5. Step 5: Solve for x
    x = 511,447.39/1,053.98
  6. Step 6: Final answer
    x = 485.25

Related Problems

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Double scale
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1.5x scale

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.