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Finding the Fourth Proportional to 1,113.81, 1,537.25 and 671.75

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Solution

The fourth proportional to 1,113.81, 1,537.25 and 671.75 is: 927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.81 : 1,537.25 = 671.75 : x
  2. Step 2: Convert to fraction form
    1,113.81/1,537.25 = 671.75/x
  3. Step 3: Cross multiply
    1,113.81x = 1,537.25 × 671.75
  4. Step 4: Simplify right side
    1,113.81x = 1,032,636.64
  5. Step 5: Solve for x
    x = 1,032,636.64/1,113.81
  6. Step 6: Final answer
    x = 927.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.