Home / 1,284.84-1,927.40-463.19

Finding the Fourth Proportional to 1,284.84, 1,927.40 and 463.19

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Solution

The fourth proportional to 1,284.84, 1,927.40 and 463.19 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.84 : 1,927.40 = 463.19 : x
  2. Step 2: Convert to fraction form
    1,284.84/1,927.40 = 463.19/x
  3. Step 3: Cross multiply
    1,284.84x = 1,927.40 × 463.19
  4. Step 4: Simplify right side
    1,284.84x = 892,740.45
  5. Step 5: Solve for x
    x = 892,740.45/1,284.84
  6. Step 6: Final answer
    x = 694.83

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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.