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Finding the Fourth Proportional to 459, 683.91 and 435.24

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Solution

The fourth proportional to 459, 683.91 and 435.24 is: 648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 683.91 = 435.24 : x
  2. Step 2: Convert to fraction form
    459/683.91 = 435.24/x
  3. Step 3: Cross multiply
    459x = 683.91 × 435.24
  4. Step 4: Simplify right side
    459x = 297,664.99
  5. Step 5: Solve for x
    x = 297,664.99/459
  6. Step 6: Final answer
    x = 648.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.