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Finding the Fourth Proportional to 487.81, 676.01 and 478.58

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Solution

The fourth proportional to 487.81, 676.01 and 478.58 is: 663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.81 : 676.01 = 478.58 : x
  2. Step 2: Convert to fraction form
    487.81/676.01 = 478.58/x
  3. Step 3: Cross multiply
    487.81x = 676.01 × 478.58
  4. Step 4: Simplify right side
    487.81x = 323,528.39
  5. Step 5: Solve for x
    x = 323,528.39/487.81
  6. Step 6: Final answer
    x = 663.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.