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Finding the Fourth Proportional to 875.75, 1,309.75 and 778.93

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Solution

The fourth proportional to 875.75, 1,309.75 and 778.93 is: 1,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.75 : 1,309.75 = 778.93 : x
  2. Step 2: Convert to fraction form
    875.75/1,309.75 = 778.93/x
  3. Step 3: Cross multiply
    875.75x = 1,309.75 × 778.93
  4. Step 4: Simplify right side
    875.75x = 1,020,198.35
  5. Step 5: Solve for x
    x = 1,020,198.35/875.75
  6. Step 6: Final answer
    x = 1,164.95

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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.