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Finding the Fourth Proportional to 776.60, 1,071.66 and 714.68

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Solution

The fourth proportional to 776.60, 1,071.66 and 714.68 is: 986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.60 : 1,071.66 = 714.68 : x
  2. Step 2: Convert to fraction form
    776.60/1,071.66 = 714.68/x
  3. Step 3: Cross multiply
    776.60x = 1,071.66 × 714.68
  4. Step 4: Simplify right side
    776.60x = 765,893.97
  5. Step 5: Solve for x
    x = 765,893.97/776.60
  6. Step 6: Final answer
    x = 986.21

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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.