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Finding the Fourth Proportional to 603.20, 830.88 and 464.96

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Solution

The fourth proportional to 603.20, 830.88 and 464.96 is: 640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 830.88 = 464.96 : x
  2. Step 2: Convert to fraction form
    603.20/830.88 = 464.96/x
  3. Step 3: Cross multiply
    603.20x = 830.88 × 464.96
  4. Step 4: Simplify right side
    603.20x = 386,325.96
  5. Step 5: Solve for x
    x = 386,325.96/603.20
  6. Step 6: Final answer
    x = 640.46

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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.