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Finding the Fourth Proportional to 821.82, 1,134.36 and 490.47

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Solution

The fourth proportional to 821.82, 1,134.36 and 490.47 is: 677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.82 : 1,134.36 = 490.47 : x
  2. Step 2: Convert to fraction form
    821.82/1,134.36 = 490.47/x
  3. Step 3: Cross multiply
    821.82x = 1,134.36 × 490.47
  4. Step 4: Simplify right side
    821.82x = 556,369.55
  5. Step 5: Solve for x
    x = 556,369.55/821.82
  6. Step 6: Final answer
    x = 677.00

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1.5x scale

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.