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Finding the Fourth Proportional to 778.14, 1,071.63 and 716.58

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Solution

The fourth proportional to 778.14, 1,071.63 and 716.58 is: 986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,071.63 = 716.58 : x
  2. Step 2: Convert to fraction form
    778.14/1,071.63 = 716.58/x
  3. Step 3: Cross multiply
    778.14x = 1,071.63 × 716.58
  4. Step 4: Simplify right side
    778.14x = 767,908.63
  5. Step 5: Solve for x
    x = 767,908.63/778.14
  6. Step 6: Final answer
    x = 986.85

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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.