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Finding the Fourth Proportional to 1,114.25, 1,537.76 and 648.59

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Solution

The fourth proportional to 1,114.25, 1,537.76 and 648.59 is: 895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.25 : 1,537.76 = 648.59 : x
  2. Step 2: Convert to fraction form
    1,114.25/1,537.76 = 648.59/x
  3. Step 3: Cross multiply
    1,114.25x = 1,537.76 × 648.59
  4. Step 4: Simplify right side
    1,114.25x = 997,372.52
  5. Step 5: Solve for x
    x = 997,372.52/1,114.25
  6. Step 6: Final answer
    x = 895.11

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