Home / 1,021.92-1,410.28-556.20

Finding the Fourth Proportional to 1,021.92, 1,410.28 and 556.20

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Solution

The fourth proportional to 1,021.92, 1,410.28 and 556.20 is: 767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,410.28 = 556.20 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,410.28 = 556.20/x
  3. Step 3: Cross multiply
    1,021.92x = 1,410.28 × 556.20
  4. Step 4: Simplify right side
    1,021.92x = 784,397.74
  5. Step 5: Solve for x
    x = 784,397.74/1,021.92
  6. Step 6: Final answer
    x = 767.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.