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Finding the Fourth Proportional to 628.38, 941.76 and 525.51

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Solution

The fourth proportional to 628.38, 941.76 and 525.51 is: 787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.38 : 941.76 = 525.51 : x
  2. Step 2: Convert to fraction form
    628.38/941.76 = 525.51/x
  3. Step 3: Cross multiply
    628.38x = 941.76 × 525.51
  4. Step 4: Simplify right side
    628.38x = 494,904.30
  5. Step 5: Solve for x
    x = 494,904.30/628.38
  6. Step 6: Final answer
    x = 787.59

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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.