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Finding the Fourth Proportional to 776.30, 1,071.45 and 714.03

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Solution

The fourth proportional to 776.30, 1,071.45 and 714.03 is: 985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.30 : 1,071.45 = 714.03 : x
  2. Step 2: Convert to fraction form
    776.30/1,071.45 = 714.03/x
  3. Step 3: Cross multiply
    776.30x = 1,071.45 × 714.03
  4. Step 4: Simplify right side
    776.30x = 765,043.43
  5. Step 5: Solve for x
    x = 765,043.43/776.30
  6. Step 6: Final answer
    x = 985.51

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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.