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Finding the Fourth Proportional to 505.08, 693.99 and 401.40

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Solution

The fourth proportional to 505.08, 693.99 and 401.40 is: 551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 693.99 = 401.40 : x
  2. Step 2: Convert to fraction form
    505.08/693.99 = 401.40/x
  3. Step 3: Cross multiply
    505.08x = 693.99 × 401.40
  4. Step 4: Simplify right side
    505.08x = 278,567.59
  5. Step 5: Solve for x
    x = 278,567.59/505.08
  6. Step 6: Final answer
    x = 551.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.