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Finding the Fourth Proportional to 487.65, 734.31 and 351.63

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Solution

The fourth proportional to 487.65, 734.31 and 351.63 is: 529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.65 : 734.31 = 351.63 : x
  2. Step 2: Convert to fraction form
    487.65/734.31 = 351.63/x
  3. Step 3: Cross multiply
    487.65x = 734.31 × 351.63
  4. Step 4: Simplify right side
    487.65x = 258,205.43
  5. Step 5: Solve for x
    x = 258,205.43/487.65
  6. Step 6: Final answer
    x = 529.49

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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.