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Finding the Fourth Proportional to 875.87, 1,313.40 and 259.35

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Solution

The fourth proportional to 875.87, 1,313.40 and 259.35 is: 388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,313.40 = 259.35 : x
  2. Step 2: Convert to fraction form
    875.87/1,313.40 = 259.35/x
  3. Step 3: Cross multiply
    875.87x = 1,313.40 × 259.35
  4. Step 4: Simplify right side
    875.87x = 340,635.54
  5. Step 5: Solve for x
    x = 340,635.54/875.87
  6. Step 6: Final answer
    x = 388.91

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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.