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Finding the Fourth Proportional to 603.02, 831.06 and 478.63

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Solution

The fourth proportional to 603.02, 831.06 and 478.63 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 831.06 = 478.63 : x
  2. Step 2: Convert to fraction form
    603.02/831.06 = 478.63/x
  3. Step 3: Cross multiply
    603.02x = 831.06 × 478.63
  4. Step 4: Simplify right side
    603.02x = 397,773.62
  5. Step 5: Solve for x
    x = 397,773.62/603.02
  6. Step 6: Final answer
    x = 659.64

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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.