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Finding the Fourth Proportional to 630.39, 944.90 and 553.16

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Solution

The fourth proportional to 630.39, 944.90 and 553.16 is: 829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.39 : 944.90 = 553.16 : x
  2. Step 2: Convert to fraction form
    630.39/944.90 = 553.16/x
  3. Step 3: Cross multiply
    630.39x = 944.90 × 553.16
  4. Step 4: Simplify right side
    630.39x = 522,682.55
  5. Step 5: Solve for x
    x = 522,682.55/630.39
  6. Step 6: Final answer
    x = 829.14

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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.