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Finding the Fourth Proportional to 873.83, 1,310.89 and 288.66

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Solution

The fourth proportional to 873.83, 1,310.89 and 288.66 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.83 : 1,310.89 = 288.66 : x
  2. Step 2: Convert to fraction form
    873.83/1,310.89 = 288.66/x
  3. Step 3: Cross multiply
    873.83x = 1,310.89 × 288.66
  4. Step 4: Simplify right side
    873.83x = 378,401.51
  5. Step 5: Solve for x
    x = 378,401.51/873.83
  6. Step 6: Final answer
    x = 433.04

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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.