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Finding the Fourth Proportional to 873.96, 1,311 and 509.16

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Solution

The fourth proportional to 873.96, 1,311 and 509.16 is: 763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.96 : 1,311 = 509.16 : x
  2. Step 2: Convert to fraction form
    873.96/1,311 = 509.16/x
  3. Step 3: Cross multiply
    873.96x = 1,311 × 509.16
  4. Step 4: Simplify right side
    873.96x = 667,508.76
  5. Step 5: Solve for x
    x = 667,508.76/873.96
  6. Step 6: Final answer
    x = 763.77

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.