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Finding the Fourth Proportional to 588.75, 810.61 and 570.12

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Solution

The fourth proportional to 588.75, 810.61 and 570.12 is: 784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 810.61 = 570.12 : x
  2. Step 2: Convert to fraction form
    588.75/810.61 = 570.12/x
  3. Step 3: Cross multiply
    588.75x = 810.61 × 570.12
  4. Step 4: Simplify right side
    588.75x = 462,144.97
  5. Step 5: Solve for x
    x = 462,144.97/588.75
  6. Step 6: Final answer
    x = 784.96

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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.