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Finding the Fourth Proportional to 1,477.31, 2,216.34 and 552.90

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Solution

The fourth proportional to 1,477.31, 2,216.34 and 552.90 is: 829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.31 : 2,216.34 = 552.90 : x
  2. Step 2: Convert to fraction form
    1,477.31/2,216.34 = 552.90/x
  3. Step 3: Cross multiply
    1,477.31x = 2,216.34 × 552.90
  4. Step 4: Simplify right side
    1,477.31x = 1,225,414.39
  5. Step 5: Solve for x
    x = 1,225,414.39/1,477.31
  6. Step 6: Final answer
    x = 829.49

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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.