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Finding the Fourth Proportional to 584.00, 805.57 and 410.12

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Solution

The fourth proportional to 584.00, 805.57 and 410.12 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.00 : 805.57 = 410.12 : x
  2. Step 2: Convert to fraction form
    584.00/805.57 = 410.12/x
  3. Step 3: Cross multiply
    584.00x = 805.57 × 410.12
  4. Step 4: Simplify right side
    584.00x = 330,375.32
  5. Step 5: Solve for x
    x = 330,375.32/584.00
  6. Step 6: Final answer
    x = 565.72

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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.