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Finding the Fourth Proportional to 875.87, 1,313.83 and 290.88

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Solution

The fourth proportional to 875.87, 1,313.83 and 290.88 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,313.83 = 290.88 : x
  2. Step 2: Convert to fraction form
    875.87/1,313.83 = 290.88/x
  3. Step 3: Cross multiply
    875.87x = 1,313.83 × 290.88
  4. Step 4: Simplify right side
    875.87x = 382,166.87
  5. Step 5: Solve for x
    x = 382,166.87/875.87
  6. Step 6: Final answer
    x = 436.33

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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.