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Finding the Fourth Proportional to 816.19, 1,126.31 and 484.42

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Solution

The fourth proportional to 816.19, 1,126.31 and 484.42 is: 668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,126.31 = 484.42 : x
  2. Step 2: Convert to fraction form
    816.19/1,126.31 = 484.42/x
  3. Step 3: Cross multiply
    816.19x = 1,126.31 × 484.42
  4. Step 4: Simplify right side
    816.19x = 545,607.09
  5. Step 5: Solve for x
    x = 545,607.09/816.19
  6. Step 6: Final answer
    x = 668.48

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Half scale
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Double scale
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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.