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Finding the Fourth Proportional to 468.68, 698.90 and 435.24

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Solution

The fourth proportional to 468.68, 698.90 and 435.24 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 698.90 = 435.24 : x
  2. Step 2: Convert to fraction form
    468.68/698.90 = 435.24/x
  3. Step 3: Cross multiply
    468.68x = 698.90 × 435.24
  4. Step 4: Simplify right side
    468.68x = 304,189.24
  5. Step 5: Solve for x
    x = 304,189.24/468.68
  6. Step 6: Final answer
    x = 649.03

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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.