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Finding the Fourth Proportional to 417.03, 628.71 and 394.71

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Solution

The fourth proportional to 417.03, 628.71 and 394.71 is: 595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.03 : 628.71 = 394.71 : x
  2. Step 2: Convert to fraction form
    417.03/628.71 = 394.71/x
  3. Step 3: Cross multiply
    417.03x = 628.71 × 394.71
  4. Step 4: Simplify right side
    417.03x = 248,158.12
  5. Step 5: Solve for x
    x = 248,158.12/417.03
  6. Step 6: Final answer
    x = 595.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.