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Finding the Fourth Proportional to 683.99, 1,024.50 and 424.06

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Solution

The fourth proportional to 683.99, 1,024.50 and 424.06 is: 635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.99 : 1,024.50 = 424.06 : x
  2. Step 2: Convert to fraction form
    683.99/1,024.50 = 424.06/x
  3. Step 3: Cross multiply
    683.99x = 1,024.50 × 424.06
  4. Step 4: Simplify right side
    683.99x = 434,449.47
  5. Step 5: Solve for x
    x = 434,449.47/683.99
  6. Step 6: Final answer
    x = 635.17

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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.