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Finding the Fourth Proportional to 628.24, 941.46 and 551.02

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Solution

The fourth proportional to 628.24, 941.46 and 551.02 is: 825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 941.46 = 551.02 : x
  2. Step 2: Convert to fraction form
    628.24/941.46 = 551.02/x
  3. Step 3: Cross multiply
    628.24x = 941.46 × 551.02
  4. Step 4: Simplify right side
    628.24x = 518,763.29
  5. Step 5: Solve for x
    x = 518,763.29/628.24
  6. Step 6: Final answer
    x = 825.74

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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.