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Finding the Fourth Proportional to 602.01, 831.04 and 403.15

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Solution

The fourth proportional to 602.01, 831.04 and 403.15 is: 556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.01 : 831.04 = 403.15 : x
  2. Step 2: Convert to fraction form
    602.01/831.04 = 403.15/x
  3. Step 3: Cross multiply
    602.01x = 831.04 × 403.15
  4. Step 4: Simplify right side
    602.01x = 335,034.85
  5. Step 5: Solve for x
    x = 335,034.85/602.01
  6. Step 6: Final answer
    x = 556.53

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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.