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Finding the Fourth Proportional to 557.49, 830.92 and 553.26

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Solution

The fourth proportional to 557.49, 830.92 and 553.26 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.49 : 830.92 = 553.26 : x
  2. Step 2: Convert to fraction form
    557.49/830.92 = 553.26/x
  3. Step 3: Cross multiply
    557.49x = 830.92 × 553.26
  4. Step 4: Simplify right side
    557.49x = 459,713.42
  5. Step 5: Solve for x
    x = 459,713.42/557.49
  6. Step 6: Final answer
    x = 824.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.