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Finding the Fourth Proportional to 821.91, 1,134.06 and 538.74

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Solution

The fourth proportional to 821.91, 1,134.06 and 538.74 is: 743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.91 : 1,134.06 = 538.74 : x
  2. Step 2: Convert to fraction form
    821.91/1,134.06 = 538.74/x
  3. Step 3: Cross multiply
    821.91x = 1,134.06 × 538.74
  4. Step 4: Simplify right side
    821.91x = 610,966.32
  5. Step 5: Solve for x
    x = 610,966.32/821.91
  6. Step 6: Final answer
    x = 743.35

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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.