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Finding the Fourth Proportional to 719.93, 993.14 and 483.93

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Solution

The fourth proportional to 719.93, 993.14 and 483.93 is: 667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.93 : 993.14 = 483.93 : x
  2. Step 2: Convert to fraction form
    719.93/993.14 = 483.93/x
  3. Step 3: Cross multiply
    719.93x = 993.14 × 483.93
  4. Step 4: Simplify right side
    719.93x = 480,610.24
  5. Step 5: Solve for x
    x = 480,610.24/719.93
  6. Step 6: Final answer
    x = 667.58

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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.