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Finding the Fourth Proportional to 822.23, 1,134.25 and 511.19

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Solution

The fourth proportional to 822.23, 1,134.25 and 511.19 is: 705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.23 : 1,134.25 = 511.19 : x
  2. Step 2: Convert to fraction form
    822.23/1,134.25 = 511.19/x
  3. Step 3: Cross multiply
    822.23x = 1,134.25 × 511.19
  4. Step 4: Simplify right side
    822.23x = 579,814.70
  5. Step 5: Solve for x
    x = 579,814.70/822.23
  6. Step 6: Final answer
    x = 705.17

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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.