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Finding the Fourth Proportional to 471.06, 702.81 and 449.19

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Solution

The fourth proportional to 471.06, 702.81 and 449.19 is: 670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 702.81 = 449.19 : x
  2. Step 2: Convert to fraction form
    471.06/702.81 = 449.19/x
  3. Step 3: Cross multiply
    471.06x = 702.81 × 449.19
  4. Step 4: Simplify right side
    471.06x = 315,695.22
  5. Step 5: Solve for x
    x = 315,695.22/471.06
  6. Step 6: Final answer
    x = 670.18

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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.