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Finding the Fourth Proportional to 1,158.77, 1,734.51 and 828.90

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Solution

The fourth proportional to 1,158.77, 1,734.51 and 828.90 is: 1,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.77 : 1,734.51 = 828.90 : x
  2. Step 2: Convert to fraction form
    1,158.77/1,734.51 = 828.90/x
  3. Step 3: Cross multiply
    1,158.77x = 1,734.51 × 828.90
  4. Step 4: Simplify right side
    1,158.77x = 1,437,738.45
  5. Step 5: Solve for x
    x = 1,437,738.45/1,158.77
  6. Step 6: Final answer
    x = 1,240.74

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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.