Home / 1,214.84-1,822.38-337.40

Finding the Fourth Proportional to 1,214.84, 1,822.38 and 337.40

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Solution

The fourth proportional to 1,214.84, 1,822.38 and 337.40 is: 506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.84 : 1,822.38 = 337.40 : x
  2. Step 2: Convert to fraction form
    1,214.84/1,822.38 = 337.40/x
  3. Step 3: Cross multiply
    1,214.84x = 1,822.38 × 337.40
  4. Step 4: Simplify right side
    1,214.84x = 614,871.01
  5. Step 5: Solve for x
    x = 614,871.01/1,214.84
  6. Step 6: Final answer
    x = 506.13

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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.