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Finding the Fourth Proportional to 607.50, 838.20 and 345.42

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Solution

The fourth proportional to 607.50, 838.20 and 345.42 is: 476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 838.20 = 345.42 : x
  2. Step 2: Convert to fraction form
    607.50/838.20 = 345.42/x
  3. Step 3: Cross multiply
    607.50x = 838.20 × 345.42
  4. Step 4: Simplify right side
    607.50x = 289,531.04
  5. Step 5: Solve for x
    x = 289,531.04/607.50
  6. Step 6: Final answer
    x = 476.59

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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.