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Finding the Fourth Proportional to 2,304.63, 3,457.05 and 638.87

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Solution

The fourth proportional to 2,304.63, 3,457.05 and 638.87 is: 958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.63 : 3,457.05 = 638.87 : x
  2. Step 2: Convert to fraction form
    2,304.63/3,457.05 = 638.87/x
  3. Step 3: Cross multiply
    2,304.63x = 3,457.05 × 638.87
  4. Step 4: Simplify right side
    2,304.63x = 2,208,588.25
  5. Step 5: Solve for x
    x = 2,208,588.25/2,304.63
  6. Step 6: Final answer
    x = 958.33

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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.