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Finding the Fourth Proportional to 582.42, 873.57 and 445.74

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Solution

The fourth proportional to 582.42, 873.57 and 445.74 is: 668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.42 : 873.57 = 445.74 : x
  2. Step 2: Convert to fraction form
    582.42/873.57 = 445.74/x
  3. Step 3: Cross multiply
    582.42x = 873.57 × 445.74
  4. Step 4: Simplify right side
    582.42x = 389,385.09
  5. Step 5: Solve for x
    x = 389,385.09/582.42
  6. Step 6: Final answer
    x = 668.56

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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.