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Finding the Fourth Proportional to 1,114.55, 1,538.10 and 617.20

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Solution

The fourth proportional to 1,114.55, 1,538.10 and 617.20 is: 851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.55 : 1,538.10 = 617.20 : x
  2. Step 2: Convert to fraction form
    1,114.55/1,538.10 = 617.20/x
  3. Step 3: Cross multiply
    1,114.55x = 1,538.10 × 617.20
  4. Step 4: Simplify right side
    1,114.55x = 949,320.13
  5. Step 5: Solve for x
    x = 949,320.13/1,114.55
  6. Step 6: Final answer
    x = 851.75

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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.