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Finding the Fourth Proportional to 473.48, 653.14 and 287.03

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Solution

The fourth proportional to 473.48, 653.14 and 287.03 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.48 : 653.14 = 287.03 : x
  2. Step 2: Convert to fraction form
    473.48/653.14 = 287.03/x
  3. Step 3: Cross multiply
    473.48x = 653.14 × 287.03
  4. Step 4: Simplify right side
    473.48x = 187,471.69
  5. Step 5: Solve for x
    x = 187,471.69/473.48
  6. Step 6: Final answer
    x = 395.95

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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.