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Finding the Fourth Proportional to 602.88, 831.65 and 366.90

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Solution

The fourth proportional to 602.88, 831.65 and 366.90 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.88 : 831.65 = 366.90 : x
  2. Step 2: Convert to fraction form
    602.88/831.65 = 366.90/x
  3. Step 3: Cross multiply
    602.88x = 831.65 × 366.90
  4. Step 4: Simplify right side
    602.88x = 305,130.55
  5. Step 5: Solve for x
    x = 305,130.55/602.88
  6. Step 6: Final answer
    x = 506.12

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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.