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Finding the Fourth Proportional to 1,031.85, 1,424.31 and 612.27

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Solution

The fourth proportional to 1,031.85, 1,424.31 and 612.27 is: 845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.85 : 1,424.31 = 612.27 : x
  2. Step 2: Convert to fraction form
    1,031.85/1,424.31 = 612.27/x
  3. Step 3: Cross multiply
    1,031.85x = 1,424.31 × 612.27
  4. Step 4: Simplify right side
    1,031.85x = 872,062.28
  5. Step 5: Solve for x
    x = 872,062.28/1,031.85
  6. Step 6: Final answer
    x = 845.14

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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.