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Finding the Fourth Proportional to 1,049.75, 1,574.64 and 365.75

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Solution

The fourth proportional to 1,049.75, 1,574.64 and 365.75 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.75 : 1,574.64 = 365.75 : x
  2. Step 2: Convert to fraction form
    1,049.75/1,574.64 = 365.75/x
  3. Step 3: Cross multiply
    1,049.75x = 1,574.64 × 365.75
  4. Step 4: Simplify right side
    1,049.75x = 575,924.58
  5. Step 5: Solve for x
    x = 575,924.58/1,049.75
  6. Step 6: Final answer
    x = 548.63

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Double scale
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Similar ratio
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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.