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Finding the Fourth Proportional to 567.43, 783.38 and 449.87

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Solution

The fourth proportional to 567.43, 783.38 and 449.87 is: 621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.43 : 783.38 = 449.87 : x
  2. Step 2: Convert to fraction form
    567.43/783.38 = 449.87/x
  3. Step 3: Cross multiply
    567.43x = 783.38 × 449.87
  4. Step 4: Simplify right side
    567.43x = 352,416.37
  5. Step 5: Solve for x
    x = 352,416.37/567.43
  6. Step 6: Final answer
    x = 621.08

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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.