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Finding the Fourth Proportional to 858.85, 1,185.23 and 504.77

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Solution

The fourth proportional to 858.85, 1,185.23 and 504.77 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.85 : 1,185.23 = 504.77 : x
  2. Step 2: Convert to fraction form
    858.85/1,185.23 = 504.77/x
  3. Step 3: Cross multiply
    858.85x = 1,185.23 × 504.77
  4. Step 4: Simplify right side
    858.85x = 598,263.88
  5. Step 5: Solve for x
    x = 598,263.88/858.85
  6. Step 6: Final answer
    x = 696.59

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Double scale
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1.5x scale

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.