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Finding the Fourth Proportional to 567.18, 782.39 and 346.05

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Solution

The fourth proportional to 567.18, 782.39 and 346.05 is: 477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 782.39 = 346.05 : x
  2. Step 2: Convert to fraction form
    567.18/782.39 = 346.05/x
  3. Step 3: Cross multiply
    567.18x = 782.39 × 346.05
  4. Step 4: Simplify right side
    567.18x = 270,746.92
  5. Step 5: Solve for x
    x = 270,746.92/567.18
  6. Step 6: Final answer
    x = 477.36

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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.