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Finding the Fourth Proportional to 719.70, 993.06 and 534.24

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Solution

The fourth proportional to 719.70, 993.06 and 534.24 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.70 : 993.06 = 534.24 : x
  2. Step 2: Convert to fraction form
    719.70/993.06 = 534.24/x
  3. Step 3: Cross multiply
    719.70x = 993.06 × 534.24
  4. Step 4: Simplify right side
    719.70x = 530,532.37
  5. Step 5: Solve for x
    x = 530,532.37/719.70
  6. Step 6: Final answer
    x = 737.16

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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.