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Finding the Fourth Proportional to 567.35, 782.81 and 346.22

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Solution

The fourth proportional to 567.35, 782.81 and 346.22 is: 477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.35 : 782.81 = 346.22 : x
  2. Step 2: Convert to fraction form
    567.35/782.81 = 346.22/x
  3. Step 3: Cross multiply
    567.35x = 782.81 × 346.22
  4. Step 4: Simplify right side
    567.35x = 271,024.70
  5. Step 5: Solve for x
    x = 271,024.70/567.35
  6. Step 6: Final answer
    x = 477.70

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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.