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Finding the Fourth Proportional to 571.74, 789.65 and 386.00

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Solution

The fourth proportional to 571.74, 789.65 and 386.00 is: 533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 789.65 = 386.00 : x
  2. Step 2: Convert to fraction form
    571.74/789.65 = 386.00/x
  3. Step 3: Cross multiply
    571.74x = 789.65 × 386.00
  4. Step 4: Simplify right side
    571.74x = 304,803.43
  5. Step 5: Solve for x
    x = 304,803.43/571.74
  6. Step 6: Final answer
    x = 533.11

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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.