Home / 1,214.64-1,822.50-393.12

Finding the Fourth Proportional to 1,214.64, 1,822.50 and 393.12

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Solution

The fourth proportional to 1,214.64, 1,822.50 and 393.12 is: 589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.64 : 1,822.50 = 393.12 : x
  2. Step 2: Convert to fraction form
    1,214.64/1,822.50 = 393.12/x
  3. Step 3: Cross multiply
    1,214.64x = 1,822.50 × 393.12
  4. Step 4: Simplify right side
    1,214.64x = 716,461.20
  5. Step 5: Solve for x
    x = 716,461.20/1,214.64
  6. Step 6: Final answer
    x = 589.85

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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.