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Finding the Fourth Proportional to 670.85, 926.14 and 405.34

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Solution

The fourth proportional to 670.85, 926.14 and 405.34 is: 559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.85 : 926.14 = 405.34 : x
  2. Step 2: Convert to fraction form
    670.85/926.14 = 405.34/x
  3. Step 3: Cross multiply
    670.85x = 926.14 × 405.34
  4. Step 4: Simplify right side
    670.85x = 375,401.59
  5. Step 5: Solve for x
    x = 375,401.59/670.85
  6. Step 6: Final answer
    x = 559.59

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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.