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Finding the Fourth Proportional to 856.76, 1,182.33 and 507.38

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Solution

The fourth proportional to 856.76, 1,182.33 and 507.38 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,182.33 = 507.38 : x
  2. Step 2: Convert to fraction form
    856.76/1,182.33 = 507.38/x
  3. Step 3: Cross multiply
    856.76x = 1,182.33 × 507.38
  4. Step 4: Simplify right side
    856.76x = 599,884.68
  5. Step 5: Solve for x
    x = 599,884.68/856.76
  6. Step 6: Final answer
    x = 700.18

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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.