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Finding the Fourth Proportional to 784.42, 1,176.57 and 679.93

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Solution

The fourth proportional to 784.42, 1,176.57 and 679.93 is: 1,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,176.57 = 679.93 : x
  2. Step 2: Convert to fraction form
    784.42/1,176.57 = 679.93/x
  3. Step 3: Cross multiply
    784.42x = 1,176.57 × 679.93
  4. Step 4: Simplify right side
    784.42x = 799,982.30
  5. Step 5: Solve for x
    x = 799,982.30/784.42
  6. Step 6: Final answer
    x = 1,019.84

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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.