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Finding the Fourth Proportional to 715.07, 986.78 and 400.35

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Solution

The fourth proportional to 715.07, 986.78 and 400.35 is: 552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.07 : 986.78 = 400.35 : x
  2. Step 2: Convert to fraction form
    715.07/986.78 = 400.35/x
  3. Step 3: Cross multiply
    715.07x = 986.78 × 400.35
  4. Step 4: Simplify right side
    715.07x = 395,055.37
  5. Step 5: Solve for x
    x = 395,055.37/715.07
  6. Step 6: Final answer
    x = 552.47

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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.