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Finding the Fourth Proportional to 1,114.41, 1,538.29 and 648.66

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Solution

The fourth proportional to 1,114.41, 1,538.29 and 648.66 is: 895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.41 : 1,538.29 = 648.66 : x
  2. Step 2: Convert to fraction form
    1,114.41/1,538.29 = 648.66/x
  3. Step 3: Cross multiply
    1,114.41x = 1,538.29 × 648.66
  4. Step 4: Simplify right side
    1,114.41x = 997,816.26
  5. Step 5: Solve for x
    x = 997,816.26/1,114.41
  6. Step 6: Final answer
    x = 895.38

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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.