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Finding the Fourth Proportional to 822.55, 1,134.70 and 557

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Solution

The fourth proportional to 822.55, 1,134.70 and 557 is: 768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.55 : 1,134.70 = 557 : x
  2. Step 2: Convert to fraction form
    822.55/1,134.70 = 557/x
  3. Step 3: Cross multiply
    822.55x = 1,134.70 × 557
  4. Step 4: Simplify right side
    822.55x = 632,025.12
  5. Step 5: Solve for x
    x = 632,025.12/822.55
  6. Step 6: Final answer
    x = 768.37

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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.