Home / 1,289.12-1,932.24-557.60

Finding the Fourth Proportional to 1,289.12, 1,932.24 and 557.60

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Solution

The fourth proportional to 1,289.12, 1,932.24 and 557.60 is: 835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.12 : 1,932.24 = 557.60 : x
  2. Step 2: Convert to fraction form
    1,289.12/1,932.24 = 557.60/x
  3. Step 3: Cross multiply
    1,289.12x = 1,932.24 × 557.60
  4. Step 4: Simplify right side
    1,289.12x = 1,077,417.02
  5. Step 5: Solve for x
    x = 1,077,417.02/1,289.12
  6. Step 6: Final answer
    x = 835.78

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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.