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Finding the Fourth Proportional to 756.11, 1,043.42 and 424.60

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Solution

The fourth proportional to 756.11, 1,043.42 and 424.60 is: 585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.11 : 1,043.42 = 424.60 : x
  2. Step 2: Convert to fraction form
    756.11/1,043.42 = 424.60/x
  3. Step 3: Cross multiply
    756.11x = 1,043.42 × 424.60
  4. Step 4: Simplify right side
    756.11x = 443,040.53
  5. Step 5: Solve for x
    x = 443,040.53/756.11
  6. Step 6: Final answer
    x = 585.95

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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.