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Finding the Fourth Proportional to 719.25, 991.35 and 594.51

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Solution

The fourth proportional to 719.25, 991.35 and 594.51 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.25 : 991.35 = 594.51 : x
  2. Step 2: Convert to fraction form
    719.25/991.35 = 594.51/x
  3. Step 3: Cross multiply
    719.25x = 991.35 × 594.51
  4. Step 4: Simplify right side
    719.25x = 589,367.49
  5. Step 5: Solve for x
    x = 589,367.49/719.25
  6. Step 6: Final answer
    x = 819.42

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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.