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Finding the Fourth Proportional to 599.48, 903.30 and 493.64

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Solution

The fourth proportional to 599.48, 903.30 and 493.64 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.48 : 903.30 = 493.64 : x
  2. Step 2: Convert to fraction form
    599.48/903.30 = 493.64/x
  3. Step 3: Cross multiply
    599.48x = 903.30 × 493.64
  4. Step 4: Simplify right side
    599.48x = 445,905.01
  5. Step 5: Solve for x
    x = 445,905.01/599.48
  6. Step 6: Final answer
    x = 743.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.