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Finding the Fourth Proportional to 412.93, 569.53 and 288.46

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Solution

The fourth proportional to 412.93, 569.53 and 288.46 is: 397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 569.53 = 288.46 : x
  2. Step 2: Convert to fraction form
    412.93/569.53 = 288.46/x
  3. Step 3: Cross multiply
    412.93x = 569.53 × 288.46
  4. Step 4: Simplify right side
    412.93x = 164,287.70
  5. Step 5: Solve for x
    x = 164,287.70/412.93
  6. Step 6: Final answer
    x = 397.86

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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.