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Finding the Fourth Proportional to 1,337.51, 2,004.62 and 633.78

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Solution

The fourth proportional to 1,337.51, 2,004.62 and 633.78 is: 949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.51 : 2,004.62 = 633.78 : x
  2. Step 2: Convert to fraction form
    1,337.51/2,004.62 = 633.78/x
  3. Step 3: Cross multiply
    1,337.51x = 2,004.62 × 633.78
  4. Step 4: Simplify right side
    1,337.51x = 1,270,484.89
  5. Step 5: Solve for x
    x = 1,270,484.89/1,337.51
  6. Step 6: Final answer
    x = 949.89

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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.