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Finding the Fourth Proportional to 607.02, 837.75 and 345

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Solution

The fourth proportional to 607.02, 837.75 and 345 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.02 : 837.75 = 345 : x
  2. Step 2: Convert to fraction form
    607.02/837.75 = 345/x
  3. Step 3: Cross multiply
    607.02x = 837.75 × 345
  4. Step 4: Simplify right side
    607.02x = 289,023.75
  5. Step 5: Solve for x
    x = 289,023.75/607.02
  6. Step 6: Final answer
    x = 476.14

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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.