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Finding the Fourth Proportional to 856.15, 1,181.41 and 524.51

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Solution

The fourth proportional to 856.15, 1,181.41 and 524.51 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.15 : 1,181.41 = 524.51 : x
  2. Step 2: Convert to fraction form
    856.15/1,181.41 = 524.51/x
  3. Step 3: Cross multiply
    856.15x = 1,181.41 × 524.51
  4. Step 4: Simplify right side
    856.15x = 619,661.36
  5. Step 5: Solve for x
    x = 619,661.36/856.15
  6. Step 6: Final answer
    x = 723.78

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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.