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Finding the Fourth Proportional to 1,037.19, 1,431.50 and 683.09

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Solution

The fourth proportional to 1,037.19, 1,431.50 and 683.09 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.19 : 1,431.50 = 683.09 : x
  2. Step 2: Convert to fraction form
    1,037.19/1,431.50 = 683.09/x
  3. Step 3: Cross multiply
    1,037.19x = 1,431.50 × 683.09
  4. Step 4: Simplify right side
    1,037.19x = 977,843.34
  5. Step 5: Solve for x
    x = 977,843.34/1,037.19
  6. Step 6: Final answer
    x = 942.78

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1.5x scale

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.