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Finding the Fourth Proportional to 557.70, 830.06 and 552.30

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Solution

The fourth proportional to 557.70, 830.06 and 552.30 is: 822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 830.06 = 552.30 : x
  2. Step 2: Convert to fraction form
    557.70/830.06 = 552.30/x
  3. Step 3: Cross multiply
    557.70x = 830.06 × 552.30
  4. Step 4: Simplify right side
    557.70x = 458,439.38
  5. Step 5: Solve for x
    x = 458,439.38/557.70
  6. Step 6: Final answer
    x = 822.02

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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.