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Finding the Fourth Proportional to 567.40, 782.85 and 346.54

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Solution

The fourth proportional to 567.40, 782.85 and 346.54 is: 478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.40 : 782.85 = 346.54 : x
  2. Step 2: Convert to fraction form
    567.40/782.85 = 346.54/x
  3. Step 3: Cross multiply
    567.40x = 782.85 × 346.54
  4. Step 4: Simplify right side
    567.40x = 271,288.84
  5. Step 5: Solve for x
    x = 271,288.84/567.40
  6. Step 6: Final answer
    x = 478.13

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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.