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Finding the Fourth Proportional to 467.80, 639.95 and 465.64

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Solution

The fourth proportional to 467.80, 639.95 and 465.64 is: 637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.80 : 639.95 = 465.64 : x
  2. Step 2: Convert to fraction form
    467.80/639.95 = 465.64/x
  3. Step 3: Cross multiply
    467.80x = 639.95 × 465.64
  4. Step 4: Simplify right side
    467.80x = 297,986.32
  5. Step 5: Solve for x
    x = 297,986.32/467.80
  6. Step 6: Final answer
    x = 637.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.