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Finding the Fourth Proportional to 789.04, 1,177.16 and 718.30

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Solution

The fourth proportional to 789.04, 1,177.16 and 718.30 is: 1,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.04 : 1,177.16 = 718.30 : x
  2. Step 2: Convert to fraction form
    789.04/1,177.16 = 718.30/x
  3. Step 3: Cross multiply
    789.04x = 1,177.16 × 718.30
  4. Step 4: Simplify right side
    789.04x = 845,554.03
  5. Step 5: Solve for x
    x = 845,554.03/789.04
  6. Step 6: Final answer
    x = 1,071.62

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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.