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Finding the Fourth Proportional to 1,072.98, 1,609.56 and 292.98

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Solution

The fourth proportional to 1,072.98, 1,609.56 and 292.98 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.98 : 1,609.56 = 292.98 : x
  2. Step 2: Convert to fraction form
    1,072.98/1,609.56 = 292.98/x
  3. Step 3: Cross multiply
    1,072.98x = 1,609.56 × 292.98
  4. Step 4: Simplify right side
    1,072.98x = 471,568.89
  5. Step 5: Solve for x
    x = 471,568.89/1,072.98
  6. Step 6: Final answer
    x = 439.49

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Half scale
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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.