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Finding the Fourth Proportional to 603.32, 832.34 and 463.19

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Solution

The fourth proportional to 603.32, 832.34 and 463.19 is: 639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.32 : 832.34 = 463.19 : x
  2. Step 2: Convert to fraction form
    603.32/832.34 = 463.19/x
  3. Step 3: Cross multiply
    603.32x = 832.34 × 463.19
  4. Step 4: Simplify right side
    603.32x = 385,531.33
  5. Step 5: Solve for x
    x = 385,531.33/603.32
  6. Step 6: Final answer
    x = 639.01

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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.