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Finding the Fourth Proportional to 412.56, 569.54 and 319.10

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Solution

The fourth proportional to 412.56, 569.54 and 319.10 is: 440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 569.54 = 319.10 : x
  2. Step 2: Convert to fraction form
    412.56/569.54 = 319.10/x
  3. Step 3: Cross multiply
    412.56x = 569.54 × 319.10
  4. Step 4: Simplify right side
    412.56x = 181,735.77
  5. Step 5: Solve for x
    x = 181,735.77/412.56
  6. Step 6: Final answer
    x = 440.51

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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.