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Finding the Fourth Proportional to 412.89, 570.06 and 318.20

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Solution

The fourth proportional to 412.89, 570.06 and 318.20 is: 439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 570.06 = 318.20 : x
  2. Step 2: Convert to fraction form
    412.89/570.06 = 318.20/x
  3. Step 3: Cross multiply
    412.89x = 570.06 × 318.20
  4. Step 4: Simplify right side
    412.89x = 181,390.24
  5. Step 5: Solve for x
    x = 181,390.24/412.89
  6. Step 6: Final answer
    x = 439.32

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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.