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Finding the Fourth Proportional to 603.20, 830.30 and 525.44

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Solution

The fourth proportional to 603.20, 830.30 and 525.44 is: 723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 830.30 = 525.44 : x
  2. Step 2: Convert to fraction form
    603.20/830.30 = 525.44/x
  3. Step 3: Cross multiply
    603.20x = 830.30 × 525.44
  4. Step 4: Simplify right side
    603.20x = 436,269.99
  5. Step 5: Solve for x
    x = 436,269.99/603.20
  6. Step 6: Final answer
    x = 723.27

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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.