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Finding the Fourth Proportional to 822.07, 1,134.35 and 542.84

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Solution

The fourth proportional to 822.07, 1,134.35 and 542.84 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.07 : 1,134.35 = 542.84 : x
  2. Step 2: Convert to fraction form
    822.07/1,134.35 = 542.84/x
  3. Step 3: Cross multiply
    822.07x = 1,134.35 × 542.84
  4. Step 4: Simplify right side
    822.07x = 615,767.84
  5. Step 5: Solve for x
    x = 615,767.84/822.07
  6. Step 6: Final answer
    x = 749.05

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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.