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Finding the Fourth Proportional to 604.89, 840.67 and 598.41

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Solution

The fourth proportional to 604.89, 840.67 and 598.41 is: 831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.89 : 840.67 = 598.41 : x
  2. Step 2: Convert to fraction form
    604.89/840.67 = 598.41/x
  3. Step 3: Cross multiply
    604.89x = 840.67 × 598.41
  4. Step 4: Simplify right side
    604.89x = 503,063.84
  5. Step 5: Solve for x
    x = 503,063.84/604.89
  6. Step 6: Final answer
    x = 831.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.