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Finding the Fourth Proportional to 789.51, 1,178.35 and 776.54

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Solution

The fourth proportional to 789.51, 1,178.35 and 776.54 is: 1,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.51 : 1,178.35 = 776.54 : x
  2. Step 2: Convert to fraction form
    789.51/1,178.35 = 776.54/x
  3. Step 3: Cross multiply
    789.51x = 1,178.35 × 776.54
  4. Step 4: Simplify right side
    789.51x = 915,035.91
  5. Step 5: Solve for x
    x = 915,035.91/789.51
  6. Step 6: Final answer
    x = 1,158.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.