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Finding the Fourth Proportional to 628.29, 940.71 and 570.65

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Solution

The fourth proportional to 628.29, 940.71 and 570.65 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 940.71 = 570.65 : x
  2. Step 2: Convert to fraction form
    628.29/940.71 = 570.65/x
  3. Step 3: Cross multiply
    628.29x = 940.71 × 570.65
  4. Step 4: Simplify right side
    628.29x = 536,813.60
  5. Step 5: Solve for x
    x = 536,813.60/628.29
  6. Step 6: Final answer
    x = 854.40

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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.