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Finding the Fourth Proportional to 1,114.59, 1,538.16 and 617.24

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Solution

The fourth proportional to 1,114.59, 1,538.16 and 617.24 is: 851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.59 : 1,538.16 = 617.24 : x
  2. Step 2: Convert to fraction form
    1,114.59/1,538.16 = 617.24/x
  3. Step 3: Cross multiply
    1,114.59x = 1,538.16 × 617.24
  4. Step 4: Simplify right side
    1,114.59x = 949,406.19
  5. Step 5: Solve for x
    x = 949,406.19/1,114.59
  6. Step 6: Final answer
    x = 851.80

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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.