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Finding the Fourth Proportional to 719.81, 993.28 and 425.02

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Solution

The fourth proportional to 719.81, 993.28 and 425.02 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.81 : 993.28 = 425.02 : x
  2. Step 2: Convert to fraction form
    719.81/993.28 = 425.02/x
  3. Step 3: Cross multiply
    719.81x = 993.28 × 425.02
  4. Step 4: Simplify right side
    719.81x = 422,166.17
  5. Step 5: Solve for x
    x = 422,166.17/719.81
  6. Step 6: Final answer
    x = 586.50

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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.