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Finding the Fourth Proportional to 859.16, 1,185.64 and 505.09

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Solution

The fourth proportional to 859.16, 1,185.64 and 505.09 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,185.64 = 505.09 : x
  2. Step 2: Convert to fraction form
    859.16/1,185.64 = 505.09/x
  3. Step 3: Cross multiply
    859.16x = 1,185.64 × 505.09
  4. Step 4: Simplify right side
    859.16x = 598,848.46
  5. Step 5: Solve for x
    x = 598,848.46/859.16
  6. Step 6: Final answer
    x = 697.02

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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.