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Finding the Fourth Proportional to 594.16, 886.82 and 449.20

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Solution

The fourth proportional to 594.16, 886.82 and 449.20 is: 670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.16 : 886.82 = 449.20 : x
  2. Step 2: Convert to fraction form
    594.16/886.82 = 449.20/x
  3. Step 3: Cross multiply
    594.16x = 886.82 × 449.20
  4. Step 4: Simplify right side
    594.16x = 398,359.54
  5. Step 5: Solve for x
    x = 398,359.54/594.16
  6. Step 6: Final answer
    x = 670.46

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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.