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Finding the Fourth Proportional to 470.44, 702.79 and 374.36

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Solution

The fourth proportional to 470.44, 702.79 and 374.36 is: 559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.44 : 702.79 = 374.36 : x
  2. Step 2: Convert to fraction form
    470.44/702.79 = 374.36/x
  3. Step 3: Cross multiply
    470.44x = 702.79 × 374.36
  4. Step 4: Simplify right side
    470.44x = 263,096.46
  5. Step 5: Solve for x
    x = 263,096.46/470.44
  6. Step 6: Final answer
    x = 559.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.