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Finding the Fourth Proportional to 571.84, 859.12 and 366.81

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Solution

The fourth proportional to 571.84, 859.12 and 366.81 is: 551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 859.12 = 366.81 : x
  2. Step 2: Convert to fraction form
    571.84/859.12 = 366.81/x
  3. Step 3: Cross multiply
    571.84x = 859.12 × 366.81
  4. Step 4: Simplify right side
    571.84x = 315,129.51
  5. Step 5: Solve for x
    x = 315,129.51/571.84
  6. Step 6: Final answer
    x = 551.08

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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.