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Finding the Fourth Proportional to 603.72, 900.36 and 513

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Solution

The fourth proportional to 603.72, 900.36 and 513 is: 765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 900.36 = 513 : x
  2. Step 2: Convert to fraction form
    603.72/900.36 = 513/x
  3. Step 3: Cross multiply
    603.72x = 900.36 × 513
  4. Step 4: Simplify right side
    603.72x = 461,884.68
  5. Step 5: Solve for x
    x = 461,884.68/603.72
  6. Step 6: Final answer
    x = 765.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.