Home / 1,097.28-1,632.96-1,061.28

Finding the Fourth Proportional to 1,097.28, 1,632.96 and 1,061.28

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Solution

The fourth proportional to 1,097.28, 1,632.96 and 1,061.28 is: 1,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.28 : 1,632.96 = 1,061.28 : x
  2. Step 2: Convert to fraction form
    1,097.28/1,632.96 = 1,061.28/x
  3. Step 3: Cross multiply
    1,097.28x = 1,632.96 × 1,061.28
  4. Step 4: Simplify right side
    1,097.28x = 1,733,027.79
  5. Step 5: Solve for x
    x = 1,733,027.79/1,097.28
  6. Step 6: Final answer
    x = 1,579.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.