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Finding the Fourth Proportional to 859.81, 1,186.35 and 505.70

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Solution

The fourth proportional to 859.81, 1,186.35 and 505.70 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.81 : 1,186.35 = 505.70 : x
  2. Step 2: Convert to fraction form
    859.81/1,186.35 = 505.70/x
  3. Step 3: Cross multiply
    859.81x = 1,186.35 × 505.70
  4. Step 4: Simplify right side
    859.81x = 599,937.20
  5. Step 5: Solve for x
    x = 599,937.20/859.81
  6. Step 6: Final answer
    x = 697.76

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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.