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Finding the Fourth Proportional to 710.94, 979.77 and 514.11

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Solution

The fourth proportional to 710.94, 979.77 and 514.11 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.94 : 979.77 = 514.11 : x
  2. Step 2: Convert to fraction form
    710.94/979.77 = 514.11/x
  3. Step 3: Cross multiply
    710.94x = 979.77 × 514.11
  4. Step 4: Simplify right side
    710.94x = 503,709.55
  5. Step 5: Solve for x
    x = 503,709.55/710.94
  6. Step 6: Final answer
    x = 708.51

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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.