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Finding the Fourth Proportional to 856.07, 1,180.90 and 575.81

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Solution

The fourth proportional to 856.07, 1,180.90 and 575.81 is: 794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.07 : 1,180.90 = 575.81 : x
  2. Step 2: Convert to fraction form
    856.07/1,180.90 = 575.81/x
  3. Step 3: Cross multiply
    856.07x = 1,180.90 × 575.81
  4. Step 4: Simplify right side
    856.07x = 679,965.25
  5. Step 5: Solve for x
    x = 679,965.25/856.07
  6. Step 6: Final answer
    x = 794.29

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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.