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Finding the Fourth Proportional to 578.07, 798 and 412.83

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Solution

The fourth proportional to 578.07, 798 and 412.83 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.07 : 798 = 412.83 : x
  2. Step 2: Convert to fraction form
    578.07/798 = 412.83/x
  3. Step 3: Cross multiply
    578.07x = 798 × 412.83
  4. Step 4: Simplify right side
    578.07x = 329,438.34
  5. Step 5: Solve for x
    x = 329,438.34/578.07
  6. Step 6: Final answer
    x = 569.89

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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.