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Finding the Fourth Proportional to 607.30, 838.14 and 345.40

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Solution

The fourth proportional to 607.30, 838.14 and 345.40 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.30 : 838.14 = 345.40 : x
  2. Step 2: Convert to fraction form
    607.30/838.14 = 345.40/x
  3. Step 3: Cross multiply
    607.30x = 838.14 × 345.40
  4. Step 4: Simplify right side
    607.30x = 289,493.56
  5. Step 5: Solve for x
    x = 289,493.56/607.30
  6. Step 6: Final answer
    x = 476.69

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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.