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Finding the Fourth Proportional to 459.80, 689.88 and 322.82

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Solution

The fourth proportional to 459.80, 689.88 and 322.82 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.80 : 689.88 = 322.82 : x
  2. Step 2: Convert to fraction form
    459.80/689.88 = 322.82/x
  3. Step 3: Cross multiply
    459.80x = 689.88 × 322.82
  4. Step 4: Simplify right side
    459.80x = 222,707.06
  5. Step 5: Solve for x
    x = 222,707.06/459.80
  6. Step 6: Final answer
    x = 484.36

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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.