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Finding the Fourth Proportional to 602.42, 831.01 and 416.01

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Solution

The fourth proportional to 602.42, 831.01 and 416.01 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 831.01 = 416.01 : x
  2. Step 2: Convert to fraction form
    602.42/831.01 = 416.01/x
  3. Step 3: Cross multiply
    602.42x = 831.01 × 416.01
  4. Step 4: Simplify right side
    602.42x = 345,705.35
  5. Step 5: Solve for x
    x = 345,705.35/602.42
  6. Step 6: Final answer
    x = 573.86

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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.