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Finding the Fourth Proportional to 567.33, 852.63 and 278.97

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Solution

The fourth proportional to 567.33, 852.63 and 278.97 is: 419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 852.63 = 278.97 : x
  2. Step 2: Convert to fraction form
    567.33/852.63 = 278.97/x
  3. Step 3: Cross multiply
    567.33x = 852.63 × 278.97
  4. Step 4: Simplify right side
    567.33x = 237,858.19
  5. Step 5: Solve for x
    x = 237,858.19/567.33
  6. Step 6: Final answer
    x = 419.26

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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.