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Finding the Fourth Proportional to 1,037.30, 1,431.02 and 682.77

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Solution

The fourth proportional to 1,037.30, 1,431.02 and 682.77 is: 941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.30 : 1,431.02 = 682.77 : x
  2. Step 2: Convert to fraction form
    1,037.30/1,431.02 = 682.77/x
  3. Step 3: Cross multiply
    1,037.30x = 1,431.02 × 682.77
  4. Step 4: Simplify right side
    1,037.30x = 977,059.23
  5. Step 5: Solve for x
    x = 977,059.23/1,037.30
  6. Step 6: Final answer
    x = 941.93

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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.