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Finding the Fourth Proportional to 710.69, 979.44 and 513.86

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Solution

The fourth proportional to 710.69, 979.44 and 513.86 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.69 : 979.44 = 513.86 : x
  2. Step 2: Convert to fraction form
    710.69/979.44 = 513.86/x
  3. Step 3: Cross multiply
    710.69x = 979.44 × 513.86
  4. Step 4: Simplify right side
    710.69x = 503,295.04
  5. Step 5: Solve for x
    x = 503,295.04/710.69
  6. Step 6: Final answer
    x = 708.18

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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.