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Finding the Fourth Proportional to 1,160.53, 1,740.72 and 544.37

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Solution

The fourth proportional to 1,160.53, 1,740.72 and 544.37 is: 816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.53 : 1,740.72 = 544.37 : x
  2. Step 2: Convert to fraction form
    1,160.53/1,740.72 = 544.37/x
  3. Step 3: Cross multiply
    1,160.53x = 1,740.72 × 544.37
  4. Step 4: Simplify right side
    1,160.53x = 947,595.75
  5. Step 5: Solve for x
    x = 947,595.75/1,160.53
  6. Step 6: Final answer
    x = 816.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.