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Finding the Fourth Proportional to 1,284.21, 1,926.90 and 504

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Solution

The fourth proportional to 1,284.21, 1,926.90 and 504 is: 756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.21 : 1,926.90 = 504 : x
  2. Step 2: Convert to fraction form
    1,284.21/1,926.90 = 504/x
  3. Step 3: Cross multiply
    1,284.21x = 1,926.90 × 504
  4. Step 4: Simplify right side
    1,284.21x = 971,157.60
  5. Step 5: Solve for x
    x = 971,157.60/1,284.21
  6. Step 6: Final answer
    x = 756.23

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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.