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Finding the Fourth Proportional to 473.43, 714.14 and 448.53

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Solution

The fourth proportional to 473.43, 714.14 and 448.53 is: 676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.43 : 714.14 = 448.53 : x
  2. Step 2: Convert to fraction form
    473.43/714.14 = 448.53/x
  3. Step 3: Cross multiply
    473.43x = 714.14 × 448.53
  4. Step 4: Simplify right side
    473.43x = 320,313.21
  5. Step 5: Solve for x
    x = 320,313.21/473.43
  6. Step 6: Final answer
    x = 676.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.