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Finding the Fourth Proportional to 567.75, 782.31 and 434.96

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Solution

The fourth proportional to 567.75, 782.31 and 434.96 is: 599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 782.31 = 434.96 : x
  2. Step 2: Convert to fraction form
    567.75/782.31 = 434.96/x
  3. Step 3: Cross multiply
    567.75x = 782.31 × 434.96
  4. Step 4: Simplify right side
    567.75x = 340,269.65
  5. Step 5: Solve for x
    x = 340,269.65/567.75
  6. Step 6: Final answer
    x = 599.34

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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.