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Finding the Fourth Proportional to 473.51, 653.46 and 298.82

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Solution

The fourth proportional to 473.51, 653.46 and 298.82 is: 412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.51 : 653.46 = 298.82 : x
  2. Step 2: Convert to fraction form
    473.51/653.46 = 298.82/x
  3. Step 3: Cross multiply
    473.51x = 653.46 × 298.82
  4. Step 4: Simplify right side
    473.51x = 195,266.92
  5. Step 5: Solve for x
    x = 195,266.92/473.51
  6. Step 6: Final answer
    x = 412.38

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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.