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Finding the Fourth Proportional to 418.78, 623.99 and 400.15

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Solution

The fourth proportional to 418.78, 623.99 and 400.15 is: 596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 623.99 = 400.15 : x
  2. Step 2: Convert to fraction form
    418.78/623.99 = 400.15/x
  3. Step 3: Cross multiply
    418.78x = 623.99 × 400.15
  4. Step 4: Simplify right side
    418.78x = 249,689.60
  5. Step 5: Solve for x
    x = 249,689.60/418.78
  6. Step 6: Final answer
    x = 596.23

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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.