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Finding the Fourth Proportional to 684.90, 942.98 and 565.43

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Solution

The fourth proportional to 684.90, 942.98 and 565.43 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 942.98 = 565.43 : x
  2. Step 2: Convert to fraction form
    684.90/942.98 = 565.43/x
  3. Step 3: Cross multiply
    684.90x = 942.98 × 565.43
  4. Step 4: Simplify right side
    684.90x = 533,181.64
  5. Step 5: Solve for x
    x = 533,181.64/684.90
  6. Step 6: Final answer
    x = 778.48

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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.