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Finding the Fourth Proportional to 661.50, 912.06 and 513.54

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Solution

The fourth proportional to 661.50, 912.06 and 513.54 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 912.06 = 513.54 : x
  2. Step 2: Convert to fraction form
    661.50/912.06 = 513.54/x
  3. Step 3: Cross multiply
    661.50x = 912.06 × 513.54
  4. Step 4: Simplify right side
    661.50x = 468,379.29
  5. Step 5: Solve for x
    x = 468,379.29/661.50
  6. Step 6: Final answer
    x = 708.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.