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Finding the Fourth Proportional to 588.36, 810.51 and 495.10

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Solution

The fourth proportional to 588.36, 810.51 and 495.10 is: 682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 810.51 = 495.10 : x
  2. Step 2: Convert to fraction form
    588.36/810.51 = 495.10/x
  3. Step 3: Cross multiply
    588.36x = 810.51 × 495.10
  4. Step 4: Simplify right side
    588.36x = 401,283.50
  5. Step 5: Solve for x
    x = 401,283.50/588.36
  6. Step 6: Final answer
    x = 682.04

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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.