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Finding the Fourth Proportional to 454.69, 678.70 and 416.22

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Solution

The fourth proportional to 454.69, 678.70 and 416.22 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.69 : 678.70 = 416.22 : x
  2. Step 2: Convert to fraction form
    454.69/678.70 = 416.22/x
  3. Step 3: Cross multiply
    454.69x = 678.70 × 416.22
  4. Step 4: Simplify right side
    454.69x = 282,488.51
  5. Step 5: Solve for x
    x = 282,488.51/454.69
  6. Step 6: Final answer
    x = 621.28

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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.