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Finding the Fourth Proportional to 567.29, 848.97 and 392.78

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Solution

The fourth proportional to 567.29, 848.97 and 392.78 is: 587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.29 : 848.97 = 392.78 : x
  2. Step 2: Convert to fraction form
    567.29/848.97 = 392.78/x
  3. Step 3: Cross multiply
    567.29x = 848.97 × 392.78
  4. Step 4: Simplify right side
    567.29x = 333,458.44
  5. Step 5: Solve for x
    x = 333,458.44/567.29
  6. Step 6: Final answer
    x = 587.81

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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.