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Finding the Fourth Proportional to 654.87, 904.15 and 455.64

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Solution

The fourth proportional to 654.87, 904.15 and 455.64 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.87 : 904.15 = 455.64 : x
  2. Step 2: Convert to fraction form
    654.87/904.15 = 455.64/x
  3. Step 3: Cross multiply
    654.87x = 904.15 × 455.64
  4. Step 4: Simplify right side
    654.87x = 411,964.08
  5. Step 5: Solve for x
    x = 411,964.08/654.87
  6. Step 6: Final answer
    x = 629.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.