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Finding the Fourth Proportional to 1,337.50, 2,004.90 and 816.40

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Solution

The fourth proportional to 1,337.50, 2,004.90 and 816.40 is: 1,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.50 : 2,004.90 = 816.40 : x
  2. Step 2: Convert to fraction form
    1,337.50/2,004.90 = 816.40/x
  3. Step 3: Cross multiply
    1,337.50x = 2,004.90 × 816.40
  4. Step 4: Simplify right side
    1,337.50x = 1,636,800.36
  5. Step 5: Solve for x
    x = 1,636,800.36/1,337.50
  6. Step 6: Final answer
    x = 1,223.78

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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.