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Finding the Fourth Proportional to 400.74, 596.87 and 395.93

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Solution

The fourth proportional to 400.74, 596.87 and 395.93 is: 589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.74 : 596.87 = 395.93 : x
  2. Step 2: Convert to fraction form
    400.74/596.87 = 395.93/x
  3. Step 3: Cross multiply
    400.74x = 596.87 × 395.93
  4. Step 4: Simplify right side
    400.74x = 236,313.78
  5. Step 5: Solve for x
    x = 236,313.78/400.74
  6. Step 6: Final answer
    x = 589.69

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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.