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Finding the Fourth Proportional to 567.68, 783.46 and 346.78

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Solution

The fourth proportional to 567.68, 783.46 and 346.78 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 783.46 = 346.78 : x
  2. Step 2: Convert to fraction form
    567.68/783.46 = 346.78/x
  3. Step 3: Cross multiply
    567.68x = 783.46 × 346.78
  4. Step 4: Simplify right side
    567.68x = 271,682.61
  5. Step 5: Solve for x
    x = 271,682.61/567.68
  6. Step 6: Final answer
    x = 478.59

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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.