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Finding the Fourth Proportional to 474.19, 653.97 and 287.58

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Solution

The fourth proportional to 474.19, 653.97 and 287.58 is: 396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.19 : 653.97 = 287.58 : x
  2. Step 2: Convert to fraction form
    474.19/653.97 = 287.58/x
  3. Step 3: Cross multiply
    474.19x = 653.97 × 287.58
  4. Step 4: Simplify right side
    474.19x = 188,066.71
  5. Step 5: Solve for x
    x = 188,066.71/474.19
  6. Step 6: Final answer
    x = 396.60

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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.