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Finding the Fourth Proportional to 552.36, 830.16 and 370.83

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Solution

The fourth proportional to 552.36, 830.16 and 370.83 is: 557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.36 : 830.16 = 370.83 : x
  2. Step 2: Convert to fraction form
    552.36/830.16 = 370.83/x
  3. Step 3: Cross multiply
    552.36x = 830.16 × 370.83
  4. Step 4: Simplify right side
    552.36x = 307,848.23
  5. Step 5: Solve for x
    x = 307,848.23/552.36
  6. Step 6: Final answer
    x = 557.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.