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Finding the Fourth Proportional to 582.81, 875.45 and 366.54

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Solution

The fourth proportional to 582.81, 875.45 and 366.54 is: 550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 875.45 = 366.54 : x
  2. Step 2: Convert to fraction form
    582.81/875.45 = 366.54/x
  3. Step 3: Cross multiply
    582.81x = 875.45 × 366.54
  4. Step 4: Simplify right side
    582.81x = 320,888.36
  5. Step 5: Solve for x
    x = 320,888.36/582.81
  6. Step 6: Final answer
    x = 550.59

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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.