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Finding the Fourth Proportional to 470.74, 702.73 and 409.23

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Solution

The fourth proportional to 470.74, 702.73 and 409.23 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.74 : 702.73 = 409.23 : x
  2. Step 2: Convert to fraction form
    470.74/702.73 = 409.23/x
  3. Step 3: Cross multiply
    470.74x = 702.73 × 409.23
  4. Step 4: Simplify right side
    470.74x = 287,574.43
  5. Step 5: Solve for x
    x = 287,574.43/470.74
  6. Step 6: Final answer
    x = 610.90

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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.