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Finding the Fourth Proportional to 412.06, 564.98 and 391.18

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Solution

The fourth proportional to 412.06, 564.98 and 391.18 is: 536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 564.98 = 391.18 : x
  2. Step 2: Convert to fraction form
    412.06/564.98 = 391.18/x
  3. Step 3: Cross multiply
    412.06x = 564.98 × 391.18
  4. Step 4: Simplify right side
    412.06x = 221,008.88
  5. Step 5: Solve for x
    x = 221,008.88/412.06
  6. Step 6: Final answer
    x = 536.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.