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Finding the Fourth Proportional to 1,576.26, 2,174.99 and 946.69

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Solution

The fourth proportional to 1,576.26, 2,174.99 and 946.69 is: 1,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.26 : 2,174.99 = 946.69 : x
  2. Step 2: Convert to fraction form
    1,576.26/2,174.99 = 946.69/x
  3. Step 3: Cross multiply
    1,576.26x = 2,174.99 × 946.69
  4. Step 4: Simplify right side
    1,576.26x = 2,059,031.11
  5. Step 5: Solve for x
    x = 2,059,031.11/1,576.26
  6. Step 6: Final answer
    x = 1,306.28

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Double scale
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1.5x scale

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.