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Finding the Fourth Proportional to 875.93, 1,313.78 and 259.61

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Solution

The fourth proportional to 875.93, 1,313.78 and 259.61 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.93 : 1,313.78 = 259.61 : x
  2. Step 2: Convert to fraction form
    875.93/1,313.78 = 259.61/x
  3. Step 3: Cross multiply
    875.93x = 1,313.78 × 259.61
  4. Step 4: Simplify right side
    875.93x = 341,072.41
  5. Step 5: Solve for x
    x = 341,072.41/875.93
  6. Step 6: Final answer
    x = 389.38

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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.