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Finding the Fourth Proportional to 719.36, 1,076.60 and 502

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Solution

The fourth proportional to 719.36, 1,076.60 and 502 is: 751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.36 : 1,076.60 = 502 : x
  2. Step 2: Convert to fraction form
    719.36/1,076.60 = 502/x
  3. Step 3: Cross multiply
    719.36x = 1,076.60 × 502
  4. Step 4: Simplify right side
    719.36x = 540,453.20
  5. Step 5: Solve for x
    x = 540,453.20/719.36
  6. Step 6: Final answer
    x = 751.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.