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Finding the Fourth Proportional to 588.03, 809.67 and 513.90

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Solution

The fourth proportional to 588.03, 809.67 and 513.90 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.03 : 809.67 = 513.90 : x
  2. Step 2: Convert to fraction form
    588.03/809.67 = 513.90/x
  3. Step 3: Cross multiply
    588.03x = 809.67 × 513.90
  4. Step 4: Simplify right side
    588.03x = 416,089.41
  5. Step 5: Solve for x
    x = 416,089.41/588.03
  6. Step 6: Final answer
    x = 707.60

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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.