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Finding the Fourth Proportional to 567.51, 852.20 and 543.81

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Solution

The fourth proportional to 567.51, 852.20 and 543.81 is: 816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.51 : 852.20 = 543.81 : x
  2. Step 2: Convert to fraction form
    567.51/852.20 = 543.81/x
  3. Step 3: Cross multiply
    567.51x = 852.20 × 543.81
  4. Step 4: Simplify right side
    567.51x = 463,440.46
  5. Step 5: Solve for x
    x = 463,440.46/567.51
  6. Step 6: Final answer
    x = 816.63

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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.