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Finding the Fourth Proportional to 567.29, 782.87 and 346.41

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Solution

The fourth proportional to 567.29, 782.87 and 346.41 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.29 : 782.87 = 346.41 : x
  2. Step 2: Convert to fraction form
    567.29/782.87 = 346.41/x
  3. Step 3: Cross multiply
    567.29x = 782.87 × 346.41
  4. Step 4: Simplify right side
    567.29x = 271,192.26
  5. Step 5: Solve for x
    x = 271,192.26/567.29
  6. Step 6: Final answer
    x = 478.05

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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.