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Finding the Fourth Proportional to 1,284.57, 1,926.84 and 407.15

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Solution

The fourth proportional to 1,284.57, 1,926.84 and 407.15 is: 610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.57 : 1,926.84 = 407.15 : x
  2. Step 2: Convert to fraction form
    1,284.57/1,926.84 = 407.15/x
  3. Step 3: Cross multiply
    1,284.57x = 1,926.84 × 407.15
  4. Step 4: Simplify right side
    1,284.57x = 784,510.87
  5. Step 5: Solve for x
    x = 784,510.87/1,284.57
  6. Step 6: Final answer
    x = 610.72

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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.