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Finding the Fourth Proportional to 405.71, 605.62 and 377.18

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Solution

The fourth proportional to 405.71, 605.62 and 377.18 is: 563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.71 : 605.62 = 377.18 : x
  2. Step 2: Convert to fraction form
    405.71/605.62 = 377.18/x
  3. Step 3: Cross multiply
    405.71x = 605.62 × 377.18
  4. Step 4: Simplify right side
    405.71x = 228,423.78
  5. Step 5: Solve for x
    x = 228,423.78/405.71
  6. Step 6: Final answer
    x = 563.03

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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.