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Finding the Fourth Proportional to 582.08, 873.20 and 376.80

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Solution

The fourth proportional to 582.08, 873.20 and 376.80 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 873.20 = 376.80 : x
  2. Step 2: Convert to fraction form
    582.08/873.20 = 376.80/x
  3. Step 3: Cross multiply
    582.08x = 873.20 × 376.80
  4. Step 4: Simplify right side
    582.08x = 329,021.76
  5. Step 5: Solve for x
    x = 329,021.76/582.08
  6. Step 6: Final answer
    x = 565.25

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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.