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Finding the Fourth Proportional to 822.12, 1,134.18 and 511.08

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Solution

The fourth proportional to 822.12, 1,134.18 and 511.08 is: 705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,134.18 = 511.08 : x
  2. Step 2: Convert to fraction form
    822.12/1,134.18 = 511.08/x
  3. Step 3: Cross multiply
    822.12x = 1,134.18 × 511.08
  4. Step 4: Simplify right side
    822.12x = 579,656.71
  5. Step 5: Solve for x
    x = 579,656.71/822.12
  6. Step 6: Final answer
    x = 705.08

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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.