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Finding the Fourth Proportional to 567.42, 783.05 and 331.52

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Solution

The fourth proportional to 567.42, 783.05 and 331.52 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 783.05 = 331.52 : x
  2. Step 2: Convert to fraction form
    567.42/783.05 = 331.52/x
  3. Step 3: Cross multiply
    567.42x = 783.05 × 331.52
  4. Step 4: Simplify right side
    567.42x = 259,591.16
  5. Step 5: Solve for x
    x = 259,591.16/567.42
  6. Step 6: Final answer
    x = 457.49

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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.