Home / 1,284.16-1,926.30-462.40

Finding the Fourth Proportional to 1,284.16, 1,926.30 and 462.40

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Solution

The fourth proportional to 1,284.16, 1,926.30 and 462.40 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.16 : 1,926.30 = 462.40 : x
  2. Step 2: Convert to fraction form
    1,284.16/1,926.30 = 462.40/x
  3. Step 3: Cross multiply
    1,284.16x = 1,926.30 × 462.40
  4. Step 4: Simplify right side
    1,284.16x = 890,721.12
  5. Step 5: Solve for x
    x = 890,721.12/1,284.16
  6. Step 6: Final answer
    x = 693.62

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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.