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Finding the Fourth Proportional to 683.57, 1,024.65 and 375.10

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Solution

The fourth proportional to 683.57, 1,024.65 and 375.10 is: 562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 1,024.65 = 375.10 : x
  2. Step 2: Convert to fraction form
    683.57/1,024.65 = 375.10/x
  3. Step 3: Cross multiply
    683.57x = 1,024.65 × 375.10
  4. Step 4: Simplify right side
    683.57x = 384,343.65
  5. Step 5: Solve for x
    x = 384,343.65/683.57
  6. Step 6: Final answer
    x = 562.26

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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.