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Finding the Fourth Proportional to 569.93, 786.15 and 412.38

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Solution

The fourth proportional to 569.93, 786.15 and 412.38 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.93 : 786.15 = 412.38 : x
  2. Step 2: Convert to fraction form
    569.93/786.15 = 412.38/x
  3. Step 3: Cross multiply
    569.93x = 786.15 × 412.38
  4. Step 4: Simplify right side
    569.93x = 324,192.54
  5. Step 5: Solve for x
    x = 324,192.54/569.93
  6. Step 6: Final answer
    x = 568.83

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1.5x scale

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.