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Finding the Fourth Proportional to 416.02, 623.49 and 389.02

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Solution

The fourth proportional to 416.02, 623.49 and 389.02 is: 583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 623.49 = 389.02 : x
  2. Step 2: Convert to fraction form
    416.02/623.49 = 389.02/x
  3. Step 3: Cross multiply
    416.02x = 623.49 × 389.02
  4. Step 4: Simplify right side
    416.02x = 242,550.08
  5. Step 5: Solve for x
    x = 242,550.08/416.02
  6. Step 6: Final answer
    x = 583.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.