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Finding the Fourth Proportional to 594.05, 817.94 and 515.22

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Solution

The fourth proportional to 594.05, 817.94 and 515.22 is: 709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.05 : 817.94 = 515.22 : x
  2. Step 2: Convert to fraction form
    594.05/817.94 = 515.22/x
  3. Step 3: Cross multiply
    594.05x = 817.94 × 515.22
  4. Step 4: Simplify right side
    594.05x = 421,416.47
  5. Step 5: Solve for x
    x = 421,416.47/594.05
  6. Step 6: Final answer
    x = 709.40

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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.