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Finding the Fourth Proportional to 603.30, 830.60 and 509.79

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Solution

The fourth proportional to 603.30, 830.60 and 509.79 is: 701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.30 : 830.60 = 509.79 : x
  2. Step 2: Convert to fraction form
    603.30/830.60 = 509.79/x
  3. Step 3: Cross multiply
    603.30x = 830.60 × 509.79
  4. Step 4: Simplify right side
    603.30x = 423,436.92
  5. Step 5: Solve for x
    x = 423,436.92/603.30
  6. Step 6: Final answer
    x = 701.87

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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.