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Finding the Fourth Proportional to 552.48, 830.46 and 309.48

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Solution

The fourth proportional to 552.48, 830.46 and 309.48 is: 465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.48 : 830.46 = 309.48 : x
  2. Step 2: Convert to fraction form
    552.48/830.46 = 309.48/x
  3. Step 3: Cross multiply
    552.48x = 830.46 × 309.48
  4. Step 4: Simplify right side
    552.48x = 257,010.76
  5. Step 5: Solve for x
    x = 257,010.76/552.48
  6. Step 6: Final answer
    x = 465.19

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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.