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Finding the Fourth Proportional to 418.51, 623.75 and 400.42

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Solution

The fourth proportional to 418.51, 623.75 and 400.42 is: 596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.51 : 623.75 = 400.42 : x
  2. Step 2: Convert to fraction form
    418.51/623.75 = 400.42/x
  3. Step 3: Cross multiply
    418.51x = 623.75 × 400.42
  4. Step 4: Simplify right side
    418.51x = 249,761.98
  5. Step 5: Solve for x
    x = 249,761.98/418.51
  6. Step 6: Final answer
    x = 596.79

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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.