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Finding the Fourth Proportional to 630.15, 944.63 and 465.21

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Solution

The fourth proportional to 630.15, 944.63 and 465.21 is: 697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.15 : 944.63 = 465.21 : x
  2. Step 2: Convert to fraction form
    630.15/944.63 = 465.21/x
  3. Step 3: Cross multiply
    630.15x = 944.63 × 465.21
  4. Step 4: Simplify right side
    630.15x = 439,450.74
  5. Step 5: Solve for x
    x = 439,450.74/630.15
  6. Step 6: Final answer
    x = 697.38

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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.