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Finding the Fourth Proportional to 1,031.10, 1,423.46 and 794.53

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Solution

The fourth proportional to 1,031.10, 1,423.46 and 794.53 is: 1,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.10 : 1,423.46 = 794.53 : x
  2. Step 2: Convert to fraction form
    1,031.10/1,423.46 = 794.53/x
  3. Step 3: Cross multiply
    1,031.10x = 1,423.46 × 794.53
  4. Step 4: Simplify right side
    1,031.10x = 1,130,980.20
  5. Step 5: Solve for x
    x = 1,130,980.20/1,031.10
  6. Step 6: Final answer
    x = 1,096.87

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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.