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Finding the Fourth Proportional to 623.45, 931.60 and 449.30

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Solution

The fourth proportional to 623.45, 931.60 and 449.30 is: 671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.45 : 931.60 = 449.30 : x
  2. Step 2: Convert to fraction form
    623.45/931.60 = 449.30/x
  3. Step 3: Cross multiply
    623.45x = 931.60 × 449.30
  4. Step 4: Simplify right side
    623.45x = 418,567.88
  5. Step 5: Solve for x
    x = 418,567.88/623.45
  6. Step 6: Final answer
    x = 671.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.