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Finding the Fourth Proportional to 710.66, 979.83 and 592.81

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Solution

The fourth proportional to 710.66, 979.83 and 592.81 is: 817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.66 : 979.83 = 592.81 : x
  2. Step 2: Convert to fraction form
    710.66/979.83 = 592.81/x
  3. Step 3: Cross multiply
    710.66x = 979.83 × 592.81
  4. Step 4: Simplify right side
    710.66x = 580,850.57
  5. Step 5: Solve for x
    x = 580,850.57/710.66
  6. Step 6: Final answer
    x = 817.34

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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.