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Finding the Fourth Proportional to 1,037.45, 1,556.46 and 543.89

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Solution

The fourth proportional to 1,037.45, 1,556.46 and 543.89 is: 815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.45 : 1,556.46 = 543.89 : x
  2. Step 2: Convert to fraction form
    1,037.45/1,556.46 = 543.89/x
  3. Step 3: Cross multiply
    1,037.45x = 1,556.46 × 543.89
  4. Step 4: Simplify right side
    1,037.45x = 846,543.03
  5. Step 5: Solve for x
    x = 846,543.03/1,037.45
  6. Step 6: Final answer
    x = 815.98

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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.