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Finding the Fourth Proportional to 714.94, 986.67 and 400.25

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Solution

The fourth proportional to 714.94, 986.67 and 400.25 is: 552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 986.67 = 400.25 : x
  2. Step 2: Convert to fraction form
    714.94/986.67 = 400.25/x
  3. Step 3: Cross multiply
    714.94x = 986.67 × 400.25
  4. Step 4: Simplify right side
    714.94x = 394,917.13
  5. Step 5: Solve for x
    x = 394,917.13/714.94
  6. Step 6: Final answer
    x = 552.38

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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.