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Finding the Fourth Proportional to 603.09, 828.60 and 509.70

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Solution

The fourth proportional to 603.09, 828.60 and 509.70 is: 700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.09 : 828.60 = 509.70 : x
  2. Step 2: Convert to fraction form
    603.09/828.60 = 509.70/x
  3. Step 3: Cross multiply
    603.09x = 828.60 × 509.70
  4. Step 4: Simplify right side
    603.09x = 422,337.42
  5. Step 5: Solve for x
    x = 422,337.42/603.09
  6. Step 6: Final answer
    x = 700.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.