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Finding the Fourth Proportional to 603.84, 833.37 and 463.71

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Solution

The fourth proportional to 603.84, 833.37 and 463.71 is: 639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 833.37 = 463.71 : x
  2. Step 2: Convert to fraction form
    603.84/833.37 = 463.71/x
  3. Step 3: Cross multiply
    603.84x = 833.37 × 463.71
  4. Step 4: Simplify right side
    603.84x = 386,442.00
  5. Step 5: Solve for x
    x = 386,442.00/603.84
  6. Step 6: Final answer
    x = 639.97

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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.