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Finding the Fourth Proportional to 621.14, 856.90 and 384.93

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Solution

The fourth proportional to 621.14, 856.90 and 384.93 is: 531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.14 : 856.90 = 384.93 : x
  2. Step 2: Convert to fraction form
    621.14/856.90 = 384.93/x
  3. Step 3: Cross multiply
    621.14x = 856.90 × 384.93
  4. Step 4: Simplify right side
    621.14x = 329,846.52
  5. Step 5: Solve for x
    x = 329,846.52/621.14
  6. Step 6: Final answer
    x = 531.03

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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.