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Finding the Fourth Proportional to 902, 1,352.53 and 414.63

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Solution

The fourth proportional to 902, 1,352.53 and 414.63 is: 621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    902 : 1,352.53 = 414.63 : x
  2. Step 2: Convert to fraction form
    902/1,352.53 = 414.63/x
  3. Step 3: Cross multiply
    902x = 1,352.53 × 414.63
  4. Step 4: Simplify right side
    902x = 560,799.51
  5. Step 5: Solve for x
    x = 560,799.51/902
  6. Step 6: Final answer
    x = 621.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.