Home / 1,317.60-1,977.24-548.08

Finding the Fourth Proportional to 1,317.60, 1,977.24 and 548.08

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Solution

The fourth proportional to 1,317.60, 1,977.24 and 548.08 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.60 : 1,977.24 = 548.08 : x
  2. Step 2: Convert to fraction form
    1,317.60/1,977.24 = 548.08/x
  3. Step 3: Cross multiply
    1,317.60x = 1,977.24 × 548.08
  4. Step 4: Simplify right side
    1,317.60x = 1,083,685.70
  5. Step 5: Solve for x
    x = 1,083,685.70/1,317.60
  6. Step 6: Final answer
    x = 822.47

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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.