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Finding the Fourth Proportional to 567.72, 783.52 and 346.66

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Solution

The fourth proportional to 567.72, 783.52 and 346.66 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.72 : 783.52 = 346.66 : x
  2. Step 2: Convert to fraction form
    567.72/783.52 = 346.66/x
  3. Step 3: Cross multiply
    567.72x = 783.52 × 346.66
  4. Step 4: Simplify right side
    567.72x = 271,615.04
  5. Step 5: Solve for x
    x = 271,615.04/567.72
  6. Step 6: Final answer
    x = 478.43

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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.