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Finding the Fourth Proportional to 789.72, 1,184.19 and 460.77

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Solution

The fourth proportional to 789.72, 1,184.19 and 460.77 is: 690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.72 : 1,184.19 = 460.77 : x
  2. Step 2: Convert to fraction form
    789.72/1,184.19 = 460.77/x
  3. Step 3: Cross multiply
    789.72x = 1,184.19 × 460.77
  4. Step 4: Simplify right side
    789.72x = 545,639.23
  5. Step 5: Solve for x
    x = 545,639.23/789.72
  6. Step 6: Final answer
    x = 690.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.