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Finding the Fourth Proportional to 569.68, 786 and 336.80

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Solution

The fourth proportional to 569.68, 786 and 336.80 is: 464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.68 : 786 = 336.80 : x
  2. Step 2: Convert to fraction form
    569.68/786 = 336.80/x
  3. Step 3: Cross multiply
    569.68x = 786 × 336.80
  4. Step 4: Simplify right side
    569.68x = 264,724.80
  5. Step 5: Solve for x
    x = 264,724.80/569.68
  6. Step 6: Final answer
    x = 464.69

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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.