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Finding the Fourth Proportional to 557.10, 830.37 and 553.05

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Solution

The fourth proportional to 557.10, 830.37 and 553.05 is: 824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 830.37 = 553.05 : x
  2. Step 2: Convert to fraction form
    557.10/830.37 = 553.05/x
  3. Step 3: Cross multiply
    557.10x = 830.37 × 553.05
  4. Step 4: Simplify right side
    557.10x = 459,233.36
  5. Step 5: Solve for x
    x = 459,233.36/557.10
  6. Step 6: Final answer
    x = 824.33

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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.