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Finding the Fourth Proportional to 1,326.47, 1,989.70 and 504.55

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Solution

The fourth proportional to 1,326.47, 1,989.70 and 504.55 is: 756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.47 : 1,989.70 = 504.55 : x
  2. Step 2: Convert to fraction form
    1,326.47/1,989.70 = 504.55/x
  3. Step 3: Cross multiply
    1,326.47x = 1,989.70 × 504.55
  4. Step 4: Simplify right side
    1,326.47x = 1,003,903.14
  5. Step 5: Solve for x
    x = 1,003,903.14/1,326.47
  6. Step 6: Final answer
    x = 756.82

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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.