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Finding the Fourth Proportional to 663.85, 993.95 and 457.30

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Solution

The fourth proportional to 663.85, 993.95 and 457.30 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 993.95 = 457.30 : x
  2. Step 2: Convert to fraction form
    663.85/993.95 = 457.30/x
  3. Step 3: Cross multiply
    663.85x = 993.95 × 457.30
  4. Step 4: Simplify right side
    663.85x = 454,533.34
  5. Step 5: Solve for x
    x = 454,533.34/663.85
  6. Step 6: Final answer
    x = 684.69

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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.