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Finding the Fourth Proportional to 455.23, 628.29 and 440.02

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Solution

The fourth proportional to 455.23, 628.29 and 440.02 is: 607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.23 : 628.29 = 440.02 : x
  2. Step 2: Convert to fraction form
    455.23/628.29 = 440.02/x
  3. Step 3: Cross multiply
    455.23x = 628.29 × 440.02
  4. Step 4: Simplify right side
    455.23x = 276,460.17
  5. Step 5: Solve for x
    x = 276,460.17/455.23
  6. Step 6: Final answer
    x = 607.30

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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.