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Finding the Fourth Proportional to 1,503.47, 2,255.29 and 681.81

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Solution

The fourth proportional to 1,503.47, 2,255.29 and 681.81 is: 1,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.47 : 2,255.29 = 681.81 : x
  2. Step 2: Convert to fraction form
    1,503.47/2,255.29 = 681.81/x
  3. Step 3: Cross multiply
    1,503.47x = 2,255.29 × 681.81
  4. Step 4: Simplify right side
    1,503.47x = 1,537,679.29
  5. Step 5: Solve for x
    x = 1,537,679.29/1,503.47
  6. Step 6: Final answer
    x = 1,022.75

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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.