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Finding the Fourth Proportional to 858.98, 1,185.14 and 579.53

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Solution

The fourth proportional to 858.98, 1,185.14 and 579.53 is: 799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.98 : 1,185.14 = 579.53 : x
  2. Step 2: Convert to fraction form
    858.98/1,185.14 = 579.53/x
  3. Step 3: Cross multiply
    858.98x = 1,185.14 × 579.53
  4. Step 4: Simplify right side
    858.98x = 686,815.36
  5. Step 5: Solve for x
    x = 686,815.36/858.98
  6. Step 6: Final answer
    x = 799.58

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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.