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Finding the Fourth Proportional to 660.72, 912.12 and 513.02

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Solution

The fourth proportional to 660.72, 912.12 and 513.02 is: 708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.72 : 912.12 = 513.02 : x
  2. Step 2: Convert to fraction form
    660.72/912.12 = 513.02/x
  3. Step 3: Cross multiply
    660.72x = 912.12 × 513.02
  4. Step 4: Simplify right side
    660.72x = 467,935.80
  5. Step 5: Solve for x
    x = 467,935.80/660.72
  6. Step 6: Final answer
    x = 708.22

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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.