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Finding the Fourth Proportional to 1,513.17, 2,269.71 and 732.63

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Solution

The fourth proportional to 1,513.17, 2,269.71 and 732.63 is: 1,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.17 : 2,269.71 = 732.63 : x
  2. Step 2: Convert to fraction form
    1,513.17/2,269.71 = 732.63/x
  3. Step 3: Cross multiply
    1,513.17x = 2,269.71 × 732.63
  4. Step 4: Simplify right side
    1,513.17x = 1,662,857.64
  5. Step 5: Solve for x
    x = 1,662,857.64/1,513.17
  6. Step 6: Final answer
    x = 1,098.92

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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.