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Finding the Fourth Proportional to 400.14, 596.70 and 377.91

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Solution

The fourth proportional to 400.14, 596.70 and 377.91 is: 563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 596.70 = 377.91 : x
  2. Step 2: Convert to fraction form
    400.14/596.70 = 377.91/x
  3. Step 3: Cross multiply
    400.14x = 596.70 × 377.91
  4. Step 4: Simplify right side
    400.14x = 225,498.90
  5. Step 5: Solve for x
    x = 225,498.90/400.14
  6. Step 6: Final answer
    x = 563.55

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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.