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Finding the Fourth Proportional to 668.16, 921.82 and 419.39

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Solution

The fourth proportional to 668.16, 921.82 and 419.39 is: 578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 921.82 = 419.39 : x
  2. Step 2: Convert to fraction form
    668.16/921.82 = 419.39/x
  3. Step 3: Cross multiply
    668.16x = 921.82 × 419.39
  4. Step 4: Simplify right side
    668.16x = 386,603.35
  5. Step 5: Solve for x
    x = 386,603.35/668.16
  6. Step 6: Final answer
    x = 578.61

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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.