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Finding the Fourth Proportional to 412.98, 569.61 and 288.78

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Solution

The fourth proportional to 412.98, 569.61 and 288.78 is: 398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 569.61 = 288.78 : x
  2. Step 2: Convert to fraction form
    412.98/569.61 = 288.78/x
  3. Step 3: Cross multiply
    412.98x = 569.61 × 288.78
  4. Step 4: Simplify right side
    412.98x = 164,491.98
  5. Step 5: Solve for x
    x = 164,491.98/412.98
  6. Step 6: Final answer
    x = 398.30

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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.