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Finding the Fourth Proportional to 700.43, 964.01 and 513.61

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Solution

The fourth proportional to 700.43, 964.01 and 513.61 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.43 : 964.01 = 513.61 : x
  2. Step 2: Convert to fraction form
    700.43/964.01 = 513.61/x
  3. Step 3: Cross multiply
    700.43x = 964.01 × 513.61
  4. Step 4: Simplify right side
    700.43x = 495,124.05
  5. Step 5: Solve for x
    x = 495,124.05/700.43
  6. Step 6: Final answer
    x = 706.89

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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.