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Finding the Fourth Proportional to 789.63, 1,178.29 and 707.64

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Solution

The fourth proportional to 789.63, 1,178.29 and 707.64 is: 1,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,178.29 = 707.64 : x
  2. Step 2: Convert to fraction form
    789.63/1,178.29 = 707.64/x
  3. Step 3: Cross multiply
    789.63x = 1,178.29 × 707.64
  4. Step 4: Simplify right side
    789.63x = 833,805.14
  5. Step 5: Solve for x
    x = 833,805.14/789.63
  6. Step 6: Final answer
    x = 1,055.94

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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.