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Finding the Fourth Proportional to 1,284.04, 1,924.94 and 762.76

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Solution

The fourth proportional to 1,284.04, 1,924.94 and 762.76 is: 1,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.04 : 1,924.94 = 762.76 : x
  2. Step 2: Convert to fraction form
    1,284.04/1,924.94 = 762.76/x
  3. Step 3: Cross multiply
    1,284.04x = 1,924.94 × 762.76
  4. Step 4: Simplify right side
    1,284.04x = 1,468,267.23
  5. Step 5: Solve for x
    x = 1,468,267.23/1,284.04
  6. Step 6: Final answer
    x = 1,143.47

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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.