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Finding the Fourth Proportional to 813.13, 1,219.47 and 265.16

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Solution

The fourth proportional to 813.13, 1,219.47 and 265.16 is: 397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.13 : 1,219.47 = 265.16 : x
  2. Step 2: Convert to fraction form
    813.13/1,219.47 = 265.16/x
  3. Step 3: Cross multiply
    813.13x = 1,219.47 × 265.16
  4. Step 4: Simplify right side
    813.13x = 323,354.67
  5. Step 5: Solve for x
    x = 323,354.67/813.13
  6. Step 6: Final answer
    x = 397.67

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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.