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Finding the Fourth Proportional to 856.36, 1,181.64 and 502.22

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Solution

The fourth proportional to 856.36, 1,181.64 and 502.22 is: 692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.36 : 1,181.64 = 502.22 : x
  2. Step 2: Convert to fraction form
    856.36/1,181.64 = 502.22/x
  3. Step 3: Cross multiply
    856.36x = 1,181.64 × 502.22
  4. Step 4: Simplify right side
    856.36x = 593,443.24
  5. Step 5: Solve for x
    x = 593,443.24/856.36
  6. Step 6: Final answer
    x = 692.98

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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.