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Finding the Fourth Proportional to 780.04, 1,169.25 and 487.09

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Solution

The fourth proportional to 780.04, 1,169.25 and 487.09 is: 730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.04 : 1,169.25 = 487.09 : x
  2. Step 2: Convert to fraction form
    780.04/1,169.25 = 487.09/x
  3. Step 3: Cross multiply
    780.04x = 1,169.25 × 487.09
  4. Step 4: Simplify right side
    780.04x = 569,529.98
  5. Step 5: Solve for x
    x = 569,529.98/780.04
  6. Step 6: Final answer
    x = 730.13

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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.