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Finding the Fourth Proportional to 542.26, 809.65 and 465.10

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Solution

The fourth proportional to 542.26, 809.65 and 465.10 is: 694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 809.65 = 465.10 : x
  2. Step 2: Convert to fraction form
    542.26/809.65 = 465.10/x
  3. Step 3: Cross multiply
    542.26x = 809.65 × 465.10
  4. Step 4: Simplify right side
    542.26x = 376,568.22
  5. Step 5: Solve for x
    x = 376,568.22/542.26
  6. Step 6: Final answer
    x = 694.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.