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Finding the Fourth Proportional to 1,031.41, 1,423.74 and 765.42

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Solution

The fourth proportional to 1,031.41, 1,423.74 and 765.42 is: 1,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.41 : 1,423.74 = 765.42 : x
  2. Step 2: Convert to fraction form
    1,031.41/1,423.74 = 765.42/x
  3. Step 3: Cross multiply
    1,031.41x = 1,423.74 × 765.42
  4. Step 4: Simplify right side
    1,031.41x = 1,089,759.07
  5. Step 5: Solve for x
    x = 1,089,759.07/1,031.41
  6. Step 6: Final answer
    x = 1,056.57

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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.