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Finding the Fourth Proportional to 1,571.64, 2,357.46 and 646.55

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Solution

The fourth proportional to 1,571.64, 2,357.46 and 646.55 is: 969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.64 : 2,357.46 = 646.55 : x
  2. Step 2: Convert to fraction form
    1,571.64/2,357.46 = 646.55/x
  3. Step 3: Cross multiply
    1,571.64x = 2,357.46 × 646.55
  4. Step 4: Simplify right side
    1,571.64x = 1,524,215.76
  5. Step 5: Solve for x
    x = 1,524,215.76/1,571.64
  6. Step 6: Final answer
    x = 969.83

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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.