Home / 1,214.28-1,821.68-434.32

Finding the Fourth Proportional to 1,214.28, 1,821.68 and 434.32

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Solution

The fourth proportional to 1,214.28, 1,821.68 and 434.32 is: 651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.28 : 1,821.68 = 434.32 : x
  2. Step 2: Convert to fraction form
    1,214.28/1,821.68 = 434.32/x
  3. Step 3: Cross multiply
    1,214.28x = 1,821.68 × 434.32
  4. Step 4: Simplify right side
    1,214.28x = 791,192.06
  5. Step 5: Solve for x
    x = 791,192.06/1,214.28
  6. Step 6: Final answer
    x = 651.57

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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.