Home / 1,288.06-1,931.73-410.56

Finding the Fourth Proportional to 1,288.06, 1,931.73 and 410.56

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Solution

The fourth proportional to 1,288.06, 1,931.73 and 410.56 is: 615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.06 : 1,931.73 = 410.56 : x
  2. Step 2: Convert to fraction form
    1,288.06/1,931.73 = 410.56/x
  3. Step 3: Cross multiply
    1,288.06x = 1,931.73 × 410.56
  4. Step 4: Simplify right side
    1,288.06x = 793,091.07
  5. Step 5: Solve for x
    x = 793,091.07/1,288.06
  6. Step 6: Final answer
    x = 615.73

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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.