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Finding the Fourth Proportional to 1,037.05, 1,432.95 and 828.94

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Solution

The fourth proportional to 1,037.05, 1,432.95 and 828.94 is: 1,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.05 : 1,432.95 = 828.94 : x
  2. Step 2: Convert to fraction form
    1,037.05/1,432.95 = 828.94/x
  3. Step 3: Cross multiply
    1,037.05x = 1,432.95 × 828.94
  4. Step 4: Simplify right side
    1,037.05x = 1,187,832.12
  5. Step 5: Solve for x
    x = 1,187,832.12/1,037.05
  6. Step 6: Final answer
    x = 1,145.40

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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.