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Finding the Fourth Proportional to 783.65, 1,175.57 and 321.39

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Solution

The fourth proportional to 783.65, 1,175.57 and 321.39 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,175.57 = 321.39 : x
  2. Step 2: Convert to fraction form
    783.65/1,175.57 = 321.39/x
  3. Step 3: Cross multiply
    783.65x = 1,175.57 × 321.39
  4. Step 4: Simplify right side
    783.65x = 377,812.13
  5. Step 5: Solve for x
    x = 377,812.13/783.65
  6. Step 6: Final answer
    x = 482.12

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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.