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Finding the Fourth Proportional to 1,031.91, 1,537.14 and 976.02

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Solution

The fourth proportional to 1,031.91, 1,537.14 and 976.02 is: 1,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.91 : 1,537.14 = 976.02 : x
  2. Step 2: Convert to fraction form
    1,031.91/1,537.14 = 976.02/x
  3. Step 3: Cross multiply
    1,031.91x = 1,537.14 × 976.02
  4. Step 4: Simplify right side
    1,031.91x = 1,500,266.82
  5. Step 5: Solve for x
    x = 1,500,266.82/1,031.91
  6. Step 6: Final answer
    x = 1,453.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.