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Finding the Fourth Proportional to 485.70, 670.11 and 345.84

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Solution

The fourth proportional to 485.70, 670.11 and 345.84 is: 477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.70 : 670.11 = 345.84 : x
  2. Step 2: Convert to fraction form
    485.70/670.11 = 345.84/x
  3. Step 3: Cross multiply
    485.70x = 670.11 × 345.84
  4. Step 4: Simplify right side
    485.70x = 231,750.84
  5. Step 5: Solve for x
    x = 231,750.84/485.70
  6. Step 6: Final answer
    x = 477.15

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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.