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Finding the Fourth Proportional to 602.69, 831.74 and 354.02

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Solution

The fourth proportional to 602.69, 831.74 and 354.02 is: 488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 831.74 = 354.02 : x
  2. Step 2: Convert to fraction form
    602.69/831.74 = 354.02/x
  3. Step 3: Cross multiply
    602.69x = 831.74 × 354.02
  4. Step 4: Simplify right side
    602.69x = 294,446.67
  5. Step 5: Solve for x
    x = 294,446.67/602.69
  6. Step 6: Final answer
    x = 488.56

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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.