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Finding the Fourth Proportional to 571.74, 789.18 and 362.26

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Solution

The fourth proportional to 571.74, 789.18 and 362.26 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 789.18 = 362.26 : x
  2. Step 2: Convert to fraction form
    571.74/789.18 = 362.26/x
  3. Step 3: Cross multiply
    571.74x = 789.18 × 362.26
  4. Step 4: Simplify right side
    571.74x = 285,888.35
  5. Step 5: Solve for x
    x = 285,888.35/571.74
  6. Step 6: Final answer
    x = 500.03

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1.5x scale

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.