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Finding the Fourth Proportional to 654.55, 903.62 and 445.84

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Solution

The fourth proportional to 654.55, 903.62 and 445.84 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.55 : 903.62 = 445.84 : x
  2. Step 2: Convert to fraction form
    654.55/903.62 = 445.84/x
  3. Step 3: Cross multiply
    654.55x = 903.62 × 445.84
  4. Step 4: Simplify right side
    654.55x = 402,865.45
  5. Step 5: Solve for x
    x = 402,865.45/654.55
  6. Step 6: Final answer
    x = 615.49

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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.