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Finding the Fourth Proportional to 719.54, 994.25 and 562.58

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Solution

The fourth proportional to 719.54, 994.25 and 562.58 is: 777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.54 : 994.25 = 562.58 : x
  2. Step 2: Convert to fraction form
    719.54/994.25 = 562.58/x
  3. Step 3: Cross multiply
    719.54x = 994.25 × 562.58
  4. Step 4: Simplify right side
    719.54x = 559,341.60
  5. Step 5: Solve for x
    x = 559,341.60/719.54
  6. Step 6: Final answer
    x = 777.36

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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.