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Finding the Fourth Proportional to 455.63, 680.27 and 387.18

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Solution

The fourth proportional to 455.63, 680.27 and 387.18 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 680.27 = 387.18 : x
  2. Step 2: Convert to fraction form
    455.63/680.27 = 387.18/x
  3. Step 3: Cross multiply
    455.63x = 680.27 × 387.18
  4. Step 4: Simplify right side
    455.63x = 263,385.00
  5. Step 5: Solve for x
    x = 263,385.00/455.63
  6. Step 6: Final answer
    x = 578.07

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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.