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Finding the Fourth Proportional to 627.84, 941.04 and 570.24

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Solution

The fourth proportional to 627.84, 941.04 and 570.24 is: 854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 941.04 = 570.24 : x
  2. Step 2: Convert to fraction form
    627.84/941.04 = 570.24/x
  3. Step 3: Cross multiply
    627.84x = 941.04 × 570.24
  4. Step 4: Simplify right side
    627.84x = 536,618.65
  5. Step 5: Solve for x
    x = 536,618.65/627.84
  6. Step 6: Final answer
    x = 854.71

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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.