Home / 1,284.10-1,926.11-462.42

Finding the Fourth Proportional to 1,284.10, 1,926.11 and 462.42

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Solution

The fourth proportional to 1,284.10, 1,926.11 and 462.42 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.10 : 1,926.11 = 462.42 : x
  2. Step 2: Convert to fraction form
    1,284.10/1,926.11 = 462.42/x
  3. Step 3: Cross multiply
    1,284.10x = 1,926.11 × 462.42
  4. Step 4: Simplify right side
    1,284.10x = 890,671.79
  5. Step 5: Solve for x
    x = 890,671.79/1,284.10
  6. Step 6: Final answer
    x = 693.62

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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.