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Finding the Fourth Proportional to 455.63, 679.72 and 417.12

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Solution

The fourth proportional to 455.63, 679.72 and 417.12 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 679.72 = 417.12 : x
  2. Step 2: Convert to fraction form
    455.63/679.72 = 417.12/x
  3. Step 3: Cross multiply
    455.63x = 679.72 × 417.12
  4. Step 4: Simplify right side
    455.63x = 283,526.56
  5. Step 5: Solve for x
    x = 283,526.56/455.63
  6. Step 6: Final answer
    x = 622.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.