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Finding the Fourth Proportional to 789.05, 1,089.36 and 714.75

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Solution

The fourth proportional to 789.05, 1,089.36 and 714.75 is: 986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,089.36 = 714.75 : x
  2. Step 2: Convert to fraction form
    789.05/1,089.36 = 714.75/x
  3. Step 3: Cross multiply
    789.05x = 1,089.36 × 714.75
  4. Step 4: Simplify right side
    789.05x = 778,620.06
  5. Step 5: Solve for x
    x = 778,620.06/789.05
  6. Step 6: Final answer
    x = 986.79

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Double scale
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1.5x scale

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.