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Finding the Fourth Proportional to 586.18, 808.00 and 445.85

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Solution

The fourth proportional to 586.18, 808.00 and 445.85 is: 614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.18 : 808.00 = 445.85 : x
  2. Step 2: Convert to fraction form
    586.18/808.00 = 445.85/x
  3. Step 3: Cross multiply
    586.18x = 808.00 × 445.85
  4. Step 4: Simplify right side
    586.18x = 360,241.65
  5. Step 5: Solve for x
    x = 360,241.65/586.18
  6. Step 6: Final answer
    x = 614.56

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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.