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Finding the Fourth Proportional to 667.16, 920.42 and 405.12

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Solution

The fourth proportional to 667.16, 920.42 and 405.12 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.16 : 920.42 = 405.12 : x
  2. Step 2: Convert to fraction form
    667.16/920.42 = 405.12/x
  3. Step 3: Cross multiply
    667.16x = 920.42 × 405.12
  4. Step 4: Simplify right side
    667.16x = 372,880.55
  5. Step 5: Solve for x
    x = 372,880.55/667.16
  6. Step 6: Final answer
    x = 558.91

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1.5x scale

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.