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Finding the Fourth Proportional to 780.99, 1,169.06 and 584.84

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Solution

The fourth proportional to 780.99, 1,169.06 and 584.84 is: 875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.99 : 1,169.06 = 584.84 : x
  2. Step 2: Convert to fraction form
    780.99/1,169.06 = 584.84/x
  3. Step 3: Cross multiply
    780.99x = 1,169.06 × 584.84
  4. Step 4: Simplify right side
    780.99x = 683,704.28
  5. Step 5: Solve for x
    x = 683,704.28/780.99
  6. Step 6: Final answer
    x = 875.43

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1.5x scale

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.