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Finding the Fourth Proportional to 683.16, 942.42 and 430.97

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Solution

The fourth proportional to 683.16, 942.42 and 430.97 is: 594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 942.42 = 430.97 : x
  2. Step 2: Convert to fraction form
    683.16/942.42 = 430.97/x
  3. Step 3: Cross multiply
    683.16x = 942.42 × 430.97
  4. Step 4: Simplify right side
    683.16x = 406,154.53
  5. Step 5: Solve for x
    x = 406,154.53/683.16
  6. Step 6: Final answer
    x = 594.53

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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.