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Finding the Fourth Proportional to 858.94, 1,185.36 and 485.92

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Solution

The fourth proportional to 858.94, 1,185.36 and 485.92 is: 670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.94 : 1,185.36 = 485.92 : x
  2. Step 2: Convert to fraction form
    858.94/1,185.36 = 485.92/x
  3. Step 3: Cross multiply
    858.94x = 1,185.36 × 485.92
  4. Step 4: Simplify right side
    858.94x = 575,990.13
  5. Step 5: Solve for x
    x = 575,990.13/858.94
  6. Step 6: Final answer
    x = 670.58

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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.