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Finding the Fourth Proportional to 603.67, 905.10 and 512.95

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Solution

The fourth proportional to 603.67, 905.10 and 512.95 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.67 : 905.10 = 512.95 : x
  2. Step 2: Convert to fraction form
    603.67/905.10 = 512.95/x
  3. Step 3: Cross multiply
    603.67x = 905.10 × 512.95
  4. Step 4: Simplify right side
    603.67x = 464,271.05
  5. Step 5: Solve for x
    x = 464,271.05/603.67
  6. Step 6: Final answer
    x = 769.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.