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Finding the Fourth Proportional to 813.16, 1,219.01 and 293.04

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Solution

The fourth proportional to 813.16, 1,219.01 and 293.04 is: 439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.16 : 1,219.01 = 293.04 : x
  2. Step 2: Convert to fraction form
    813.16/1,219.01 = 293.04/x
  3. Step 3: Cross multiply
    813.16x = 1,219.01 × 293.04
  4. Step 4: Simplify right side
    813.16x = 357,218.69
  5. Step 5: Solve for x
    x = 357,218.69/813.16
  6. Step 6: Final answer
    x = 439.30

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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.