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Finding the Fourth Proportional to 715.59, 984.02 and 595.98

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Solution

The fourth proportional to 715.59, 984.02 and 595.98 is: 819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.59 : 984.02 = 595.98 : x
  2. Step 2: Convert to fraction form
    715.59/984.02 = 595.98/x
  3. Step 3: Cross multiply
    715.59x = 984.02 × 595.98
  4. Step 4: Simplify right side
    715.59x = 586,453.26
  5. Step 5: Solve for x
    x = 586,453.26/715.59
  6. Step 6: Final answer
    x = 819.54

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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.