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Finding the Fourth Proportional to 812.42, 1,217.76 and 465

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Solution

The fourth proportional to 812.42, 1,217.76 and 465 is: 697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.42 : 1,217.76 = 465 : x
  2. Step 2: Convert to fraction form
    812.42/1,217.76 = 465/x
  3. Step 3: Cross multiply
    812.42x = 1,217.76 × 465
  4. Step 4: Simplify right side
    812.42x = 566,258.40
  5. Step 5: Solve for x
    x = 566,258.40/812.42
  6. Step 6: Final answer
    x = 697.00

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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.