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Finding the Fourth Proportional to 603.07, 831.32 and 471.85

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Solution

The fourth proportional to 603.07, 831.32 and 471.85 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.07 : 831.32 = 471.85 : x
  2. Step 2: Convert to fraction form
    603.07/831.32 = 471.85/x
  3. Step 3: Cross multiply
    603.07x = 831.32 × 471.85
  4. Step 4: Simplify right side
    603.07x = 392,258.34
  5. Step 5: Solve for x
    x = 392,258.34/603.07
  6. Step 6: Final answer
    x = 650.44

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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.