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Finding the Fourth Proportional to 487.66, 734.36 and 351.66

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Solution

The fourth proportional to 487.66, 734.36 and 351.66 is: 529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.66 : 734.36 = 351.66 : x
  2. Step 2: Convert to fraction form
    487.66/734.36 = 351.66/x
  3. Step 3: Cross multiply
    487.66x = 734.36 × 351.66
  4. Step 4: Simplify right side
    487.66x = 258,245.04
  5. Step 5: Solve for x
    x = 258,245.04/487.66
  6. Step 6: Final answer
    x = 529.56

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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.