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Finding the Fourth Proportional to 1,571.33, 2,356.61 and 475.76

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Solution

The fourth proportional to 1,571.33, 2,356.61 and 475.76 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.33 : 2,356.61 = 475.76 : x
  2. Step 2: Convert to fraction form
    1,571.33/2,356.61 = 475.76/x
  3. Step 3: Cross multiply
    1,571.33x = 2,356.61 × 475.76
  4. Step 4: Simplify right side
    1,571.33x = 1,121,180.77
  5. Step 5: Solve for x
    x = 1,121,180.77/1,571.33
  6. Step 6: Final answer
    x = 713.52

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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.