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Finding the Fourth Proportional to 607.56, 838.44 and 345.57

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Solution

The fourth proportional to 607.56, 838.44 and 345.57 is: 476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.56 : 838.44 = 345.57 : x
  2. Step 2: Convert to fraction form
    607.56/838.44 = 345.57/x
  3. Step 3: Cross multiply
    607.56x = 838.44 × 345.57
  4. Step 4: Simplify right side
    607.56x = 289,737.98
  5. Step 5: Solve for x
    x = 289,737.98/607.56
  6. Step 6: Final answer
    x = 476.89

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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.