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Finding the Fourth Proportional to 1,031.02, 1,423.47 and 920.31

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Solution

The fourth proportional to 1,031.02, 1,423.47 and 920.31 is: 1,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.02 : 1,423.47 = 920.31 : x
  2. Step 2: Convert to fraction form
    1,031.02/1,423.47 = 920.31/x
  3. Step 3: Cross multiply
    1,031.02x = 1,423.47 × 920.31
  4. Step 4: Simplify right side
    1,031.02x = 1,310,033.68
  5. Step 5: Solve for x
    x = 1,310,033.68/1,031.02
  6. Step 6: Final answer
    x = 1,270.62

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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.