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Finding the Fourth Proportional to 487.36, 669.76 and 438.76

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Solution

The fourth proportional to 487.36, 669.76 and 438.76 is: 602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.36 : 669.76 = 438.76 : x
  2. Step 2: Convert to fraction form
    487.36/669.76 = 438.76/x
  3. Step 3: Cross multiply
    487.36x = 669.76 × 438.76
  4. Step 4: Simplify right side
    487.36x = 293,863.90
  5. Step 5: Solve for x
    x = 293,863.90/487.36
  6. Step 6: Final answer
    x = 602.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.