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Finding the Fourth Proportional to 473.51, 653.51 and 287.03

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Solution

The fourth proportional to 473.51, 653.51 and 287.03 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.51 : 653.51 = 287.03 : x
  2. Step 2: Convert to fraction form
    473.51/653.51 = 287.03/x
  3. Step 3: Cross multiply
    473.51x = 653.51 × 287.03
  4. Step 4: Simplify right side
    473.51x = 187,579.33
  5. Step 5: Solve for x
    x = 187,579.33/473.51
  6. Step 6: Final answer
    x = 396.14

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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.