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Finding the Fourth Proportional to 565.67, 778.75 and 418.05

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Solution

The fourth proportional to 565.67, 778.75 and 418.05 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.67 : 778.75 = 418.05 : x
  2. Step 2: Convert to fraction form
    565.67/778.75 = 418.05/x
  3. Step 3: Cross multiply
    565.67x = 778.75 × 418.05
  4. Step 4: Simplify right side
    565.67x = 325,555.39
  5. Step 5: Solve for x
    x = 325,555.39/565.67
  6. Step 6: Final answer
    x = 575.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.