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Finding the Fourth Proportional to 2,303.38, 3,455.27 and 637.51

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Solution

The fourth proportional to 2,303.38, 3,455.27 and 637.51 is: 956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.38 : 3,455.27 = 637.51 : x
  2. Step 2: Convert to fraction form
    2,303.38/3,455.27 = 637.51/x
  3. Step 3: Cross multiply
    2,303.38x = 3,455.27 × 637.51
  4. Step 4: Simplify right side
    2,303.38x = 2,202,769.18
  5. Step 5: Solve for x
    x = 2,202,769.18/2,303.38
  6. Step 6: Final answer
    x = 956.32

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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.