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Finding the Fourth Proportional to 816.14, 1,126.22 and 466.83

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Solution

The fourth proportional to 816.14, 1,126.22 and 466.83 is: 644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,126.22 = 466.83 : x
  2. Step 2: Convert to fraction form
    816.14/1,126.22 = 466.83/x
  3. Step 3: Cross multiply
    816.14x = 1,126.22 × 466.83
  4. Step 4: Simplify right side
    816.14x = 525,753.28
  5. Step 5: Solve for x
    x = 525,753.28/816.14
  6. Step 6: Final answer
    x = 644.19

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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.