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Finding the Fourth Proportional to 683.72, 942.90 and 421.16

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Solution

The fourth proportional to 683.72, 942.90 and 421.16 is: 580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.72 : 942.90 = 421.16 : x
  2. Step 2: Convert to fraction form
    683.72/942.90 = 421.16/x
  3. Step 3: Cross multiply
    683.72x = 942.90 × 421.16
  4. Step 4: Simplify right side
    683.72x = 397,111.76
  5. Step 5: Solve for x
    x = 397,111.76/683.72
  6. Step 6: Final answer
    x = 580.81

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1.5x scale

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.