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Finding the Fourth Proportional to 543.16, 809.41 and 527.56

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Solution

The fourth proportional to 543.16, 809.41 and 527.56 is: 786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 809.41 = 527.56 : x
  2. Step 2: Convert to fraction form
    543.16/809.41 = 527.56/x
  3. Step 3: Cross multiply
    543.16x = 809.41 × 527.56
  4. Step 4: Simplify right side
    543.16x = 427,012.34
  5. Step 5: Solve for x
    x = 427,012.34/543.16
  6. Step 6: Final answer
    x = 786.16

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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.