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Finding the Fourth Proportional to 567.46, 783.07 and 346.78

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Solution

The fourth proportional to 567.46, 783.07 and 346.78 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 783.07 = 346.78 : x
  2. Step 2: Convert to fraction form
    567.46/783.07 = 346.78/x
  3. Step 3: Cross multiply
    567.46x = 783.07 × 346.78
  4. Step 4: Simplify right side
    567.46x = 271,553.01
  5. Step 5: Solve for x
    x = 271,553.01/567.46
  6. Step 6: Final answer
    x = 478.54

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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.