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Finding the Fourth Proportional to 588.18, 810.90 and 490.08

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Solution

The fourth proportional to 588.18, 810.90 and 490.08 is: 675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.18 : 810.90 = 490.08 : x
  2. Step 2: Convert to fraction form
    588.18/810.90 = 490.08/x
  3. Step 3: Cross multiply
    588.18x = 810.90 × 490.08
  4. Step 4: Simplify right side
    588.18x = 397,405.87
  5. Step 5: Solve for x
    x = 397,405.87/588.18
  6. Step 6: Final answer
    x = 675.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.