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Finding the Fourth Proportional to 473.41, 653.14 and 286.58

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Solution

The fourth proportional to 473.41, 653.14 and 286.58 is: 395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.41 : 653.14 = 286.58 : x
  2. Step 2: Convert to fraction form
    473.41/653.14 = 286.58/x
  3. Step 3: Cross multiply
    473.41x = 653.14 × 286.58
  4. Step 4: Simplify right side
    473.41x = 187,173.60
  5. Step 5: Solve for x
    x = 187,173.60/473.41
  6. Step 6: Final answer
    x = 395.37

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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.