Home / 1,022.91-1,411.63-557.16

Finding the Fourth Proportional to 1,022.91, 1,411.63 and 557.16

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Solution

The fourth proportional to 1,022.91, 1,411.63 and 557.16 is: 768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.91 : 1,411.63 = 557.16 : x
  2. Step 2: Convert to fraction form
    1,022.91/1,411.63 = 557.16/x
  3. Step 3: Cross multiply
    1,022.91x = 1,411.63 × 557.16
  4. Step 4: Simplify right side
    1,022.91x = 786,497.08
  5. Step 5: Solve for x
    x = 786,497.08/1,022.91
  6. Step 6: Final answer
    x = 768.88

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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.