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Finding the Fourth Proportional to 417.88, 623.74 and 368.64

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Solution

The fourth proportional to 417.88, 623.74 and 368.64 is: 550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.88 : 623.74 = 368.64 : x
  2. Step 2: Convert to fraction form
    417.88/623.74 = 368.64/x
  3. Step 3: Cross multiply
    417.88x = 623.74 × 368.64
  4. Step 4: Simplify right side
    417.88x = 229,930.55
  5. Step 5: Solve for x
    x = 229,930.55/417.88
  6. Step 6: Final answer
    x = 550.23

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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.