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Finding the Fourth Proportional to 628.72, 939.62 and 465.04

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Solution

The fourth proportional to 628.72, 939.62 and 465.04 is: 695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.72 : 939.62 = 465.04 : x
  2. Step 2: Convert to fraction form
    628.72/939.62 = 465.04/x
  3. Step 3: Cross multiply
    628.72x = 939.62 × 465.04
  4. Step 4: Simplify right side
    628.72x = 436,960.88
  5. Step 5: Solve for x
    x = 436,960.88/628.72
  6. Step 6: Final answer
    x = 695.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.