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Finding the Fourth Proportional to 812.99, 1,219.34 and 292.93

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Solution

The fourth proportional to 812.99, 1,219.34 and 292.93 is: 439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.99 : 1,219.34 = 292.93 : x
  2. Step 2: Convert to fraction form
    812.99/1,219.34 = 292.93/x
  3. Step 3: Cross multiply
    812.99x = 1,219.34 × 292.93
  4. Step 4: Simplify right side
    812.99x = 357,178.95
  5. Step 5: Solve for x
    x = 357,178.95/812.99
  6. Step 6: Final answer
    x = 439.34

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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.