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Finding the Fourth Proportional to 582.48, 804.31 and 556.07

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Solution

The fourth proportional to 582.48, 804.31 and 556.07 is: 767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 804.31 = 556.07 : x
  2. Step 2: Convert to fraction form
    582.48/804.31 = 556.07/x
  3. Step 3: Cross multiply
    582.48x = 804.31 × 556.07
  4. Step 4: Simplify right side
    582.48x = 447,247.25
  5. Step 5: Solve for x
    x = 447,247.25/582.48
  6. Step 6: Final answer
    x = 767.83

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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.