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Finding the Fourth Proportional to 1,114.48, 1,538 and 648.72

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Solution

The fourth proportional to 1,114.48, 1,538 and 648.72 is: 895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.48 : 1,538 = 648.72 : x
  2. Step 2: Convert to fraction form
    1,114.48/1,538 = 648.72/x
  3. Step 3: Cross multiply
    1,114.48x = 1,538 × 648.72
  4. Step 4: Simplify right side
    1,114.48x = 997,731.36
  5. Step 5: Solve for x
    x = 997,731.36/1,114.48
  6. Step 6: Final answer
    x = 895.24

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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.