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Finding the Fourth Proportional to 567.86, 783.68 and 331.81

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Solution

The fourth proportional to 567.86, 783.68 and 331.81 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 783.68 = 331.81 : x
  2. Step 2: Convert to fraction form
    567.86/783.68 = 331.81/x
  3. Step 3: Cross multiply
    567.86x = 783.68 × 331.81
  4. Step 4: Simplify right side
    567.86x = 260,029.24
  5. Step 5: Solve for x
    x = 260,029.24/567.86
  6. Step 6: Final answer
    x = 457.91

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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.