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Finding the Fourth Proportional to 582.94, 804.34 and 443.02

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Solution

The fourth proportional to 582.94, 804.34 and 443.02 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 804.34 = 443.02 : x
  2. Step 2: Convert to fraction form
    582.94/804.34 = 443.02/x
  3. Step 3: Cross multiply
    582.94x = 804.34 × 443.02
  4. Step 4: Simplify right side
    582.94x = 356,338.71
  5. Step 5: Solve for x
    x = 356,338.71/582.94
  6. Step 6: Final answer
    x = 611.28

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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.