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Finding the Fourth Proportional to 567.75, 783.50 and 361.11

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Solution

The fourth proportional to 567.75, 783.50 and 361.11 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 783.50 = 361.11 : x
  2. Step 2: Convert to fraction form
    567.75/783.50 = 361.11/x
  3. Step 3: Cross multiply
    567.75x = 783.50 × 361.11
  4. Step 4: Simplify right side
    567.75x = 282,927.88
  5. Step 5: Solve for x
    x = 282,927.88/567.75
  6. Step 6: Final answer
    x = 498.33

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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.