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Finding the Fourth Proportional to 417.85, 623.21 and 366.82

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Solution

The fourth proportional to 417.85, 623.21 and 366.82 is: 547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.85 : 623.21 = 366.82 : x
  2. Step 2: Convert to fraction form
    417.85/623.21 = 366.82/x
  3. Step 3: Cross multiply
    417.85x = 623.21 × 366.82
  4. Step 4: Simplify right side
    417.85x = 228,605.89
  5. Step 5: Solve for x
    x = 228,605.89/417.85
  6. Step 6: Final answer
    x = 547.10

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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.