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Finding the Fourth Proportional to 875.37, 1,309.17 and 778.55

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Solution

The fourth proportional to 875.37, 1,309.17 and 778.55 is: 1,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.37 : 1,309.17 = 778.55 : x
  2. Step 2: Convert to fraction form
    875.37/1,309.17 = 778.55/x
  3. Step 3: Cross multiply
    875.37x = 1,309.17 × 778.55
  4. Step 4: Simplify right side
    875.37x = 1,019,250.68
  5. Step 5: Solve for x
    x = 1,019,250.68/875.37
  6. Step 6: Final answer
    x = 1,164.37

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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.