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Finding the Fourth Proportional to 455.54, 678.77 and 407.07

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Solution

The fourth proportional to 455.54, 678.77 and 407.07 is: 606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.54 : 678.77 = 407.07 : x
  2. Step 2: Convert to fraction form
    455.54/678.77 = 407.07/x
  3. Step 3: Cross multiply
    455.54x = 678.77 × 407.07
  4. Step 4: Simplify right side
    455.54x = 276,304.87
  5. Step 5: Solve for x
    x = 276,304.87/455.54
  6. Step 6: Final answer
    x = 606.55

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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.