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Finding the Fourth Proportional to 485.70, 670.59 and 361.41

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Solution

The fourth proportional to 485.70, 670.59 and 361.41 is: 498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.70 : 670.59 = 361.41 : x
  2. Step 2: Convert to fraction form
    485.70/670.59 = 361.41/x
  3. Step 3: Cross multiply
    485.70x = 670.59 × 361.41
  4. Step 4: Simplify right side
    485.70x = 242,357.93
  5. Step 5: Solve for x
    x = 242,357.93/485.70
  6. Step 6: Final answer
    x = 498.99

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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.