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Finding the Fourth Proportional to 607.55, 838.07 and 421.14

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Solution

The fourth proportional to 607.55, 838.07 and 421.14 is: 580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.55 : 838.07 = 421.14 : x
  2. Step 2: Convert to fraction form
    607.55/838.07 = 421.14/x
  3. Step 3: Cross multiply
    607.55x = 838.07 × 421.14
  4. Step 4: Simplify right side
    607.55x = 352,942.69
  5. Step 5: Solve for x
    x = 352,942.69/607.55
  6. Step 6: Final answer
    x = 580.93

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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.