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Finding the Fourth Proportional to 603.50, 832.32 and 463.96

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Solution

The fourth proportional to 603.50, 832.32 and 463.96 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.50 : 832.32 = 463.96 : x
  2. Step 2: Convert to fraction form
    603.50/832.32 = 463.96/x
  3. Step 3: Cross multiply
    603.50x = 832.32 × 463.96
  4. Step 4: Simplify right side
    603.50x = 386,158.79
  5. Step 5: Solve for x
    x = 386,158.79/603.50
  6. Step 6: Final answer
    x = 639.87

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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.