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Finding the Fourth Proportional to 715.07, 986.79 and 400.33

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Solution

The fourth proportional to 715.07, 986.79 and 400.33 is: 552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.07 : 986.79 = 400.33 : x
  2. Step 2: Convert to fraction form
    715.07/986.79 = 400.33/x
  3. Step 3: Cross multiply
    715.07x = 986.79 × 400.33
  4. Step 4: Simplify right side
    715.07x = 395,044.84
  5. Step 5: Solve for x
    x = 395,044.84/715.07
  6. Step 6: Final answer
    x = 552.46

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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.