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Finding the Fourth Proportional to 598.70, 898.56 and 512.60

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Solution

The fourth proportional to 598.70, 898.56 and 512.60 is: 769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 898.56 = 512.60 : x
  2. Step 2: Convert to fraction form
    598.70/898.56 = 512.60/x
  3. Step 3: Cross multiply
    598.70x = 898.56 × 512.60
  4. Step 4: Simplify right side
    598.70x = 460,597.36
  5. Step 5: Solve for x
    x = 460,597.36/598.70
  6. Step 6: Final answer
    x = 769.33

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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.