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Finding the Fourth Proportional to 421.62, 580.57 and 412.53

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Solution

The fourth proportional to 421.62, 580.57 and 412.53 is: 568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.62 : 580.57 = 412.53 : x
  2. Step 2: Convert to fraction form
    421.62/580.57 = 412.53/x
  3. Step 3: Cross multiply
    421.62x = 580.57 × 412.53
  4. Step 4: Simplify right side
    421.62x = 239,502.54
  5. Step 5: Solve for x
    x = 239,502.54/421.62
  6. Step 6: Final answer
    x = 568.05

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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.