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Finding the Fourth Proportional to 621.10, 856.93 and 359.08

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Solution

The fourth proportional to 621.10, 856.93 and 359.08 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.10 : 856.93 = 359.08 : x
  2. Step 2: Convert to fraction form
    621.10/856.93 = 359.08/x
  3. Step 3: Cross multiply
    621.10x = 856.93 × 359.08
  4. Step 4: Simplify right side
    621.10x = 307,706.42
  5. Step 5: Solve for x
    x = 307,706.42/621.10
  6. Step 6: Final answer
    x = 495.42

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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.