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Finding the Fourth Proportional to 719.78, 993.06 and 457.76

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Solution

The fourth proportional to 719.78, 993.06 and 457.76 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.78 : 993.06 = 457.76 : x
  2. Step 2: Convert to fraction form
    719.78/993.06 = 457.76/x
  3. Step 3: Cross multiply
    719.78x = 993.06 × 457.76
  4. Step 4: Simplify right side
    719.78x = 454,583.15
  5. Step 5: Solve for x
    x = 454,583.15/719.78
  6. Step 6: Final answer
    x = 631.56

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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.