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Finding the Fourth Proportional to 859.21, 1,185.70 and 509.89

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Solution

The fourth proportional to 859.21, 1,185.70 and 509.89 is: 703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.21 : 1,185.70 = 509.89 : x
  2. Step 2: Convert to fraction form
    859.21/1,185.70 = 509.89/x
  3. Step 3: Cross multiply
    859.21x = 1,185.70 × 509.89
  4. Step 4: Simplify right side
    859.21x = 604,576.57
  5. Step 5: Solve for x
    x = 604,576.57/859.21
  6. Step 6: Final answer
    x = 703.64

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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.