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Finding the Fourth Proportional to 636.16, 952.70 and 543.07

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Solution

The fourth proportional to 636.16, 952.70 and 543.07 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.16 : 952.70 = 543.07 : x
  2. Step 2: Convert to fraction form
    636.16/952.70 = 543.07/x
  3. Step 3: Cross multiply
    636.16x = 952.70 × 543.07
  4. Step 4: Simplify right side
    636.16x = 517,382.79
  5. Step 5: Solve for x
    x = 517,382.79/636.16
  6. Step 6: Final answer
    x = 813.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.