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Finding the Fourth Proportional to 630.75, 943.93 and 465.85

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Solution

The fourth proportional to 630.75, 943.93 and 465.85 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.75 : 943.93 = 465.85 : x
  2. Step 2: Convert to fraction form
    630.75/943.93 = 465.85/x
  3. Step 3: Cross multiply
    630.75x = 943.93 × 465.85
  4. Step 4: Simplify right side
    630.75x = 439,729.79
  5. Step 5: Solve for x
    x = 439,729.79/630.75
  6. Step 6: Final answer
    x = 697.15

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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.