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Finding the Fourth Proportional to 1,284.90, 1,926.62 and 553.88

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Solution

The fourth proportional to 1,284.90, 1,926.62 and 553.88 is: 830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.90 : 1,926.62 = 553.88 : x
  2. Step 2: Convert to fraction form
    1,284.90/1,926.62 = 553.88/x
  3. Step 3: Cross multiply
    1,284.90x = 1,926.62 × 553.88
  4. Step 4: Simplify right side
    1,284.90x = 1,067,116.29
  5. Step 5: Solve for x
    x = 1,067,116.29/1,284.90
  6. Step 6: Final answer
    x = 830.51

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1.5x scale

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.