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Finding the Fourth Proportional to 588.26, 810.69 and 509.33

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Solution

The fourth proportional to 588.26, 810.69 and 509.33 is: 701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 810.69 = 509.33 : x
  2. Step 2: Convert to fraction form
    588.26/810.69 = 509.33/x
  3. Step 3: Cross multiply
    588.26x = 810.69 × 509.33
  4. Step 4: Simplify right side
    588.26x = 412,908.74
  5. Step 5: Solve for x
    x = 412,908.74/588.26
  6. Step 6: Final answer
    x = 701.92

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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.