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Finding the Fourth Proportional to 402.35, 599.93 and 395.06

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Solution

The fourth proportional to 402.35, 599.93 and 395.06 is: 589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.35 : 599.93 = 395.06 : x
  2. Step 2: Convert to fraction form
    402.35/599.93 = 395.06/x
  3. Step 3: Cross multiply
    402.35x = 599.93 × 395.06
  4. Step 4: Simplify right side
    402.35x = 237,007.87
  5. Step 5: Solve for x
    x = 237,007.87/402.35
  6. Step 6: Final answer
    x = 589.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.