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Finding the Fourth Proportional to 708.42, 979.20 and 513.30

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Solution

The fourth proportional to 708.42, 979.20 and 513.30 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 979.20 = 513.30 : x
  2. Step 2: Convert to fraction form
    708.42/979.20 = 513.30/x
  3. Step 3: Cross multiply
    708.42x = 979.20 × 513.30
  4. Step 4: Simplify right side
    708.42x = 502,623.36
  5. Step 5: Solve for x
    x = 502,623.36/708.42
  6. Step 6: Final answer
    x = 709.50

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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.