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Finding the Fourth Proportional to 530.00, 795.68 and 408.34

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Solution

The fourth proportional to 530.00, 795.68 and 408.34 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.00 : 795.68 = 408.34 : x
  2. Step 2: Convert to fraction form
    530.00/795.68 = 408.34/x
  3. Step 3: Cross multiply
    530.00x = 795.68 × 408.34
  4. Step 4: Simplify right side
    530.00x = 324,901.95
  5. Step 5: Solve for x
    x = 324,901.95/530.00
  6. Step 6: Final answer
    x = 613.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.