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Finding the Fourth Proportional to 667.78, 922.18 and 512.26

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Solution

The fourth proportional to 667.78, 922.18 and 512.26 is: 707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.78 : 922.18 = 512.26 : x
  2. Step 2: Convert to fraction form
    667.78/922.18 = 512.26/x
  3. Step 3: Cross multiply
    667.78x = 922.18 × 512.26
  4. Step 4: Simplify right side
    667.78x = 472,395.93
  5. Step 5: Solve for x
    x = 472,395.93/667.78
  6. Step 6: Final answer
    x = 707.41

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Double scale
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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.