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Finding the Fourth Proportional to 567.80, 851.09 and 278.63

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Solution

The fourth proportional to 567.80, 851.09 and 278.63 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 851.09 = 278.63 : x
  2. Step 2: Convert to fraction form
    567.80/851.09 = 278.63/x
  3. Step 3: Cross multiply
    567.80x = 851.09 × 278.63
  4. Step 4: Simplify right side
    567.80x = 237,133.56
  5. Step 5: Solve for x
    x = 237,133.56/567.80
  6. Step 6: Final answer
    x = 417.64

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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.