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Finding the Fourth Proportional to 784.65, 1,175.33 and 629.74

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Solution

The fourth proportional to 784.65, 1,175.33 and 629.74 is: 943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.65 : 1,175.33 = 629.74 : x
  2. Step 2: Convert to fraction form
    784.65/1,175.33 = 629.74/x
  3. Step 3: Cross multiply
    784.65x = 1,175.33 × 629.74
  4. Step 4: Simplify right side
    784.65x = 740,149.17
  5. Step 5: Solve for x
    x = 740,149.17/784.65
  6. Step 6: Final answer
    x = 943.28

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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.