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Finding the Fourth Proportional to 621.02, 856.97 and 345.02

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Solution

The fourth proportional to 621.02, 856.97 and 345.02 is: 476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.02 : 856.97 = 345.02 : x
  2. Step 2: Convert to fraction form
    621.02/856.97 = 345.02/x
  3. Step 3: Cross multiply
    621.02x = 856.97 × 345.02
  4. Step 4: Simplify right side
    621.02x = 295,671.79
  5. Step 5: Solve for x
    x = 295,671.79/621.02
  6. Step 6: Final answer
    x = 476.11

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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.