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Finding the Fourth Proportional to 780.67, 1,178.35 and 780.67

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Solution

The fourth proportional to 780.67, 1,178.35 and 780.67 is: 1,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.67 : 1,178.35 = 780.67 : x
  2. Step 2: Convert to fraction form
    780.67/1,178.35 = 780.67/x
  3. Step 3: Cross multiply
    780.67x = 1,178.35 × 780.67
  4. Step 4: Simplify right side
    780.67x = 919,902.49
  5. Step 5: Solve for x
    x = 919,902.49/780.67
  6. Step 6: Final answer
    x = 1,178.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.