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Finding the Fourth Proportional to 417, 626.04 and 388.47

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Solution

The fourth proportional to 417, 626.04 and 388.47 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 626.04 = 388.47 : x
  2. Step 2: Convert to fraction form
    417/626.04 = 388.47/x
  3. Step 3: Cross multiply
    417x = 626.04 × 388.47
  4. Step 4: Simplify right side
    417x = 243,197.76
  5. Step 5: Solve for x
    x = 243,197.76/417
  6. Step 6: Final answer
    x = 583.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.