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Finding the Fourth Proportional to 859.85, 1,187.04 and 581.54

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Solution

The fourth proportional to 859.85, 1,187.04 and 581.54 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.85 : 1,187.04 = 581.54 : x
  2. Step 2: Convert to fraction form
    859.85/1,187.04 = 581.54/x
  3. Step 3: Cross multiply
    859.85x = 1,187.04 × 581.54
  4. Step 4: Simplify right side
    859.85x = 690,311.24
  5. Step 5: Solve for x
    x = 690,311.24/859.85
  6. Step 6: Final answer
    x = 802.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.