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Finding the Fourth Proportional to 416.54, 622.90 and 312.50

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Solution

The fourth proportional to 416.54, 622.90 and 312.50 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 622.90 = 312.50 : x
  2. Step 2: Convert to fraction form
    416.54/622.90 = 312.50/x
  3. Step 3: Cross multiply
    416.54x = 622.90 × 312.50
  4. Step 4: Simplify right side
    416.54x = 194,656.25
  5. Step 5: Solve for x
    x = 194,656.25/416.54
  6. Step 6: Final answer
    x = 467.32

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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.