Home / 1,214.24-1,675.28-800.16

Finding the Fourth Proportional to 1,214.24, 1,675.28 and 800.16

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Solution

The fourth proportional to 1,214.24, 1,675.28 and 800.16 is: 1,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.24 : 1,675.28 = 800.16 : x
  2. Step 2: Convert to fraction form
    1,214.24/1,675.28 = 800.16/x
  3. Step 3: Cross multiply
    1,214.24x = 1,675.28 × 800.16
  4. Step 4: Simplify right side
    1,214.24x = 1,340,492.04
  5. Step 5: Solve for x
    x = 1,340,492.04/1,214.24
  6. Step 6: Final answer
    x = 1,103.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.