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Finding the Fourth Proportional to 858.80, 1,185.06 and 509.44

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Solution

The fourth proportional to 858.80, 1,185.06 and 509.44 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.80 : 1,185.06 = 509.44 : x
  2. Step 2: Convert to fraction form
    858.80/1,185.06 = 509.44/x
  3. Step 3: Cross multiply
    858.80x = 1,185.06 × 509.44
  4. Step 4: Simplify right side
    858.80x = 603,716.97
  5. Step 5: Solve for x
    x = 603,716.97/858.80
  6. Step 6: Final answer
    x = 702.98

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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.