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Finding the Fourth Proportional to 456.03, 628.71 and 377.06

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Solution

The fourth proportional to 456.03, 628.71 and 377.06 is: 519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.03 : 628.71 = 377.06 : x
  2. Step 2: Convert to fraction form
    456.03/628.71 = 377.06/x
  3. Step 3: Cross multiply
    456.03x = 628.71 × 377.06
  4. Step 4: Simplify right side
    456.03x = 237,058.96
  5. Step 5: Solve for x
    x = 237,058.96/456.03
  6. Step 6: Final answer
    x = 519.83

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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.